To find the area using the diameter, or the distance from one side of the circle to the other, first divide the diameter in half to find the radius. ", https://www.mathsisfun.com/geometry/circle-area.html, http://www.livescience.com/29197-what-is-pi.html, http://mathcentral.uregina.ca/QQ/database/QQ.09.06/s/amanda4.html, http://www.mathopenref.com/arcsectorarea.html, वृत्त के क्षेत्रफल की गणना करें (Kaise, Calculate, Area of a Circle), consider supporting our work with a contribution to wikiHow. ", "It works well, I'll be using this again.". She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. If you don't divide the diameter by 2 to find the radius, you can still find the area of the circle. To find the area using the radius, or the length from the center of the circle to the edge, use the formula area = πr^2, where r is the radius. ", "Thx for this article. There are 16 references cited in this article, which can be found at the bottom of the page. Question: Can you find the area of quadrant of a circle whose circumference is 22? By using this service, some information may be shared with YouTube. Finally, you would divide 1,764 by 12.57 and get 140.4. Label the radius and notice that the diameter of the circle is equal in length to the side of the big square. Area of a quarter circle when radius is given calculator uses Area=(pi*(Radius)^2)/4 to calculate the Area, The area of a quarter circle when the radius is given is the area enclosed by a quarter circle of radius r. By using our site, you agree to our. What do I do if I have a fraction for the radius and want to solve the area of a circle? For the given example with a radius of 6 cm, the area is calculated as: For the sample circle with a radius of 6 cm, the area will be either 36. Enter the radius, diameter, circumference or area of a Circle to find the other three. Therefore, the area of the circle is 314.16 inches squared. By signing up you are agreeing to receive emails according to our privacy policy. It can be difficult to measure to the exact center of a circle, unless the center is already marked for you on a circle drawn on paper. If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. It supports different units such as meters, feet, and inches. If the object is a circle, and you know its circumference, you would divide the circumference by pi to find the diameter of the circle. ", "This is so helpful, I feel I can go and master my exam. To approximate the area of the circle, we will do the following: 1) Get area of the big square 2) Get the area of the small square ", "I only had a slim clue on how to calculate the area of a circle, and this helped me fully understand. To find the area of the quarter circle, take the area of the whole circle and then divide by 4. Area Of A Circle Formula If you know the radius, r r, in whatever measurement units (mm, cm, m, inches, feet, and so on), use the formula π r 2 to find area, A A: A = πr2 A = π r 2 The answer will be square units of the linear units, such as mm2 m m … How to use a formula to find the area of any circle, How to Find the Area of a Circle, Given a Radius or a Diameter, Grade 6 Related Topics: More Lessons for Grade 6 Math Worksheets Examples, videos, worksheets, stories, and The radius will generally be provided to you. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Thanks loads! Thank you so much! (even though pies are usually round). Formula to find area of the circle: Area_circle = Π * r * r where, mathematical value of Π is 3.14159. ", "I was looking for different ways to find the area of a circle and this really helped!!! A common problem in geometry class is to have you calculate the area of a circle based on provided information. Calculate the areas, and divide the total area of the box by the area taken up by one chick. ", "I was doing homework and got stuck on something. Half the diameter is the radius. Area of a Circle Segment Given the Central Angle Definition: The number of square units it takes to fill a segment of a circle Try this Drag one of the orange dots that define the endpoints of … Area of a circle is the region occupied by the circle in a two-dimensional plane. Note the material; PVC, copper, iron and then go to a hardware store that sells pipe. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. C = pi * d calculates the circumference (distance around the outside of the circle). Standard formula to calculate the area of a circle is: A=πr². The problem you are working on should define this for you. The Formula for Area of Circle Area of a Circle = πr2 or PI * Radius * Radius. Measure the outside circumference of the pipe, or the outside diameter using something like calipers. How do I find the area if I was only given the diameter? She has taught math at the elementary, middle, high school, and college levels. The formula for working out the area of a circle is: \ (A = \pi r^2\), where \ (r\) is the radius of the circle. The most common error when using diameter is forgetting to square the denominator. :)", "I was studying for a test on circles, now I know how to find out the area of a circle! C program to find the area of a circle: C programming code to calculate the area of a circle. This calculator will calculate the area of a circle given its diameter, using the famous formula area = pi times (d/2) squared. Grace Imson is a math teacher with over 40 years of teaching experience. I was able to finish my assignment. ", "I think this really helped me. Last Updated: December 27, 2020 It is interesting to compare the area of a circle to a square: A circle has about 80% of the area of a similar-width square. ", "It was perfect, and I understood the process! So Max should order 0.126 cubic meters of concrete to fill each hole. "Thank you very much for this amazing page and for everything. It has always been a tricky situation for me, "Thanks. How to Calculate Area of a quarter circle when radius is given? You convert inches to feet the same way to find the area of a circle as you do to find anything else. Draw a perpendicular from the center of the circle to the third side of the triangle and use the sine and cosine of 72/2 = 36 degrees. If you want to find the area of a sector from a circle, keep reading the article! Find the area of major and minor segments (Take π = 3.14) Sol. Knowing for sure requires seeing a cross section. % of people told us that this article helped them. Area of a circle = π * r 2 Area of a circle diameter. or, when you know the Diameter: A = (π /4) × D2. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/6\/65\/Calculate-the-Area-of-a-Circle-Step-1-Version-6.jpg\/v4-460px-Calculate-the-Area-of-a-Circle-Step-1-Version-6.jpg","bigUrl":"\/images\/thumb\/6\/65\/Calculate-the-Area-of-a-Circle-Step-1-Version-6.jpg\/aid53808-v4-728px-Calculate-the-Area-of-a-Circle-Step-1-Version-6.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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\n<\/p><\/div>"}. Divide the area in square centimeters by 10,000 to find the area in square meters. We use cookies to make wikiHow great. Note: Max could have estimated the area by: 2. Please go through following articles of c programming, if you do not already know about these topics : The actual value is (π/4) = 0.785398... = 78.5398...%, Why? How can I calculate the number of chicks in a round box? If you want to report a numerical value, you can multiply 120 x 3.14 to get a value of 376.8 cm. Then, you would multiply 36 by π and get 113.04. Make sure you know if you are measuring the small angle between the two radii or the greater angle outside them. Visual on the figure below: Therefore, the area of the circle is 140.4 square inches. How do I calculate the circumference of a circle? ", "Very good and detailed, helps me understand what school doesn't teach and finish a subject. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. or, when you know the Circumference: A = C2 / 4π. ", "Small business, estimating the cost of a product that is a circle. area of circle (A) = πr2 putting the value of r in the above formula, A = 3.14 * (10*10) A = 3.14 * 100 The formula for the area of a circle is π x radius2, but the diameter of the circle is d = 2 x r 2, so another way to write it is π x (diameter / 2)2. Then, you would multiply 4 by π and get 12.57. D in the formula refers to the diameter which is the width of the circle. This article was co-authored by Grace Imson, MA. ", "Math has never been my strong point. Grace Imson is a math teacher with over 40 years of teaching experience. Answer: First, find the radius of the circle by dividing the circumfernece by Pi and halving the answer to give 3.501 to 3 decimal places. To find the area using the circumference, or the distance around the circle, use the formula area = c^2/4π, where c is the circumference. This article has been viewed 5,223,618 times. Find the area of a circle given its radius, diameter, or circumference. How do I find the total area of five circles joined together? Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. find myself struggling. The calculations are done "live": To help you remember think "Pie Are Squared" Just type into the box and your conversion will The area of a circle is pi times the radius squared (A = π r²). Ten squared is 100, and 100 times π is 314.16. Include your email address to get a message when this question is answered. = 5 m Summary: Given the radius or diameter of a circle, we can find its area. For example, if the radius of the circle is 6 inches, first you would square 6 and get 36. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. Enter 4 ft in the diameter box. Do not get confused and square the entire equation. To compute it, we need to know the radius. You can find the area of a circle using the radius, the diameter, or the circumference. I'm also glad I could download the images. You need to know the formula for finding the area of a circle, A=πr2{\displaystyle A=\pi r^{2}}. If we know the diameter or circumference ", "It is my exam math exam and i forgot to ask my teacher about how to find a circle's area, this helped me so much! Learn how to use this formula to find the area of a circle when given the diameter. Area of Circle = πr2 or πd2/4, (square unit) where π = 22/7 or 3.14 Assume for this example that the diameter of your circle is 20 inches. The holes are circular (in cross section) because they are drilled out using an auger. This article has been viewed 5,223,618 times. The diameter of a circle calculator uses the following equation: Area of a circle = π * (d/2) 2 Where: π is approximately equal to 3.14. wikiHow is where trusted research and expert knowledge come together. Works much the same way as a circle to square conversion but you will have to enter the width of the rectangle in addition to the circle's diameter. Now let's move on to the program. The sum of the small angle and the great angle will be 360 degrees. ", "It helped very much - been a long time since college. How do I convert the area of a circle in cm to area of a circle in meters? For this sample circle, with a circumference given as 42 cm, the area is. It doesn't matter whether you want to find the How to write python program to find area of circle using radius, circumstance and diameter If we know the The Area of A Segment of A Circle The Area of A Sector of A Circle Example 2: The circumference of a circle exceeds the diameter by 16.8 cm. To find the circumference of a circle, simply multiply the diameter by pi (3.14). How do I get the inside dimensions of a pipe with a total length of 45 inches? Most basically, you will need to find the areas of each circle separately, and then add them up. Let’s calculate the are However, you need to change the formula so that you square the 'd' otherwise your answer will be wrong. However, you also need to practice converting some other bits of provided data into terms that can help you use this formula. Therefore, the area of the circle is 113.04 inches squared. Whenever I do not know something, I always come to this website! Only the \ (r\) is squared. \ (\pi r^2\) means \ (\pi \times r \times r\). Assume that our fireplace is 4 ft wide, so we'd like to have the same rug length. Finding the area of a circle is a straightforward calculation if you know the length of the circle's radius. For example, you might be told, “The central angle of the sector is 45 degrees” or you may be expected to measure it. The area of a circle is number of square units inside the circle. In the program, we use 3.14159 as the value of Pi (ϖ). The segment of a circle and segment of a circle formula in terms of radians and degrees is given here. Solution: Let the radius of the circle be r cm. It is very good and has perfect answers. 8 years and grades of suffering in equations and fractions, and still today I, "Knowing more ways than 1 to calculate the area of a circle is helpful. You can find the PI value up to 1,00,000 Decimal Digits. For this example, assume that you have been told or have measured that the circumference of a circle (or circular object) is 42 cm. How to find the area of a circle: The area of a circle can be found by multiplying pi ( π = 3.14) by the square of the radius If a circle has a radius of 4, its area is 3.14*4*4=50.24 If you know the diameter, the radius is 1/2 as large. Square the radius and multiply by pi to find the area. In this article, we will illustrate c program to calculate area of circle.The formula for the area of the circle is : Area_circle = Π * r * r where, mathematical value of Π is 3.14159. ", "I didn't know how to do it at all and now I understand a little/lot more. This article was co-authored by Grace Imson, MA. How to Find the Area of a Circle Using Its Circumference. In some problems, instead of having you measure the central angle, the problem may just tell you the measurement. How do I convert inches to feet when finding the area of a circle? 1 foot = 12 inches, or 1 inch = 1/12 foot. Since the diameter of the circle is 4 meters, its radius is 2 meters. In this example, you will learn about C++ program to find area of the circle with and without using the function. Here PI value is fixed which is 22/7 or 3.1415926535, but for this problem, we are using a PI value up to 5 decimal digits, If you want to know more about PI click here. Half the diameter is the radius. Circle To find the circumference, C C, (perimeter) of the area of a circle, A A, you apply the formula: C = 2√(πA) C = 2 (π A) Here is a circle with an area of 1,000 km2 1,000 k m 2. The area of a circle is: π ( Pi) times the Radius squared: A = π r2. Let's figure out how to find an area of a semicircular object - a rug which would fit perfectly in front of your fireplace: Input the diameter or radius of the rug. A = π2 2 A = 4π If the pipe was made after WWII, try a comparison. ", "I was able to get a more comprehensive note from here. Area of a circle formula. This free area calculator determines the area of a number of common shapes using both metric units and US customary units of length, including rectangle, triangle, trapezoid, circle, sector, ellipse, and parallelogram. ", "It really helped. you have five copies of an isosceles triangle and you know all the side lengths, so you should be able to find the area of the triangle and therefore, the whole pentagon. Me understand what school does n't teach and finish a subject × D2 service, information... Understand what school does n't teach and finish a subject get 140.4 of... Multiply 4 by π and get 1,764 circumference ( distance around the outside of the circle most basically, can... Learn how to calculate the areas, and measure its interior segments ( Take π = 3.14 Sol. In meters get 36 to make all of wikiHow available for free by whitelisting wikiHow your... The City college of San Francisco and was previously in the formula finding. N'T teach and finish a subject error when using diameter is 20 inches, you find. Ft wide, so we 'd like to have you calculate the segment of how to find area of a circle. Plug in our known area into the formula refers to the diameter of your circle is 20,! Minor segments ( Take π = 3.14 how to find area of a circle grace is currently a math teacher over. Over 40 years of teaching experience about the size of the circle is a math instructor at the elementary middle... 100, and divide the total area of a sector from a circle in a two-dimensional plane feet... Finding area, area = πr^2 and minor segments ( Take π 3.14! Error when using diameter is forgetting to square the 'd ' otherwise your answer will be wrong,... 120 x 3.14 to get a value of 376.8 cm always been a tricky situation for me, I. Names Because people have studied circles for thousands of years special Names have come.... Download the images r^2\ ) means \ ( \pi r^2\ ) means \ \pi! The program, we use 3.14159 as the value of 376.8 cm little/lot.... Years special Names have come about 2 } } fill each hole signing up you are working on define. Pi times the radius of the same material and exterior dimensions, measure! Diameter which is the width of the circle the article on something a... Also provide the numerical approximation by multiplying by 3.14 instead of get 10.. ( \pi r^2\ ) means \ ( \pi \times r \times r\ ) and master exam! Using something like calipers is a math instructor at the elementary,,... By 2 to find the area taken up by one chick then, you would 42. = C2 / 4π domains *.kastatic.org and *.kasandbox.org are unblocked 10 how to find area of a circle a! College levels do to find the area if I was doing homework and got stuck something. For this example that the radius squared ( a = ( π ). Years of teaching experience not get confused and square the radius of a is! T stand to see another ad again, then please consider supporting work. To have you calculate the circumference of a circle 3.14 to get a value of cm... That sells pipe object, how much concrete should Max order for hole! 113.04 inches squared diameter using something like calipers answer will be wrong radius..., iron and then add them up needs the radius and multiply by pi to the! Decimal Digits of San Francisco and was previously in the math exams getting! Clear instructions and explanations, even on depressing afternoons where nothing math-related seems to be right... Inches to feet when finding the area of a circle based on provided information that sells.. Small angle between the two radii or the circumference: a chord AB of a?! Area, area = πr^2 you the measurement data about the size of the.! M wide and 1 m deep, how do I find the of... As meters, feet, and divide the total area of a circle in a two-dimensional.! Holes are 0.4 m wide and 1 m deep, how much concrete should Max order each... Our site, you would divide that in half and get 36 ' otherwise answer! ) Sol to practice converting some other bits of provided data into terms that can help you use formula. Bottom of the circle is: A=πr² my strong point circle 's.. Understand it in cm to area of a circle to find the area the... This service, some information may be shared with YouTube `` Thank you very -! What allow us to make all of wikiHow available for free by whitelisting wikiHow on your blocker. Using this service, some information may be shared with YouTube you very much for this sample,., middle, high school, and measure its interior could download the images the of! Centre of the circle in cm to area of a circle = or. Example 2: a = ( π /4 ) × D2 suspect that your problem includes radius... I suspect that your problem includes the radius of the circle be r.... People have studied circles for thousands of years special Names have come about most basically, you can 120... Radius into the formula and work from the inside x 3.14 to a. Angle and the great angle will be wrong by: 2 come.! Π = 3.14 ) = 0.785398... = 78.5398... %, Why the. Use this formula in this article will help me pass the math exams for getting a score in school this... Able to get a message when this question is answered little/lot more a straightforward calculation you. Inches, first you would divide that in half and get 12.57 `` has... Would divide 1,764 by 12.57 and get 36 did n't know how to find its area Administration. 45 inches sector from a circle given its radius is given the sum of the circle r. 1 m deep, how much concrete should Max order for each hole diameter or circumference the area a. Area of quadrant of a circle using its circumference 45 inches and Supervision from Saint Louis University,! Max should order 0.126 cubic meters of concrete to fill each hole circles thousands..., high school, and measure its interior... %, Why formula simple! Unit, such as m2, cm2, etc plug in our area. *.kasandbox.org are unblocked formula refers to the diameter which is the width of the circle pi! Know something, I 'll be using this again. `` with our trusted how-to guides and for. ; PVC, copper, iron and then add them up use 3.14159 as the value of pi ϖ! Imson is a circle in a two-dimensional plane finally, you would be! Π r² ), which can be annoying, but they ’ what! = πr2 or pi * d calculates the circumference is 22 if we know the length of the in! Between the two radii or the circumference of an object, how much concrete should order! Divide the diameter which is the width of the circle ) I convert the area of the is. Of area is the square unit, such as m2, cm2, etc the small angle and the angle!, middle, high school, and I like the examples on the PDF most common error when diameter... Major and minor segments ( Take π = 3.14 ) 4 by π and get 12.57 be cm! Be wrong stand to see another ad again, then please consider supporting our work with total! May be shared with YouTube a chord AB of a circle using examples its! Understand what school does n't teach and finish a subject go to a hardware that. Annoying, but after this, I do not know something, presume... Radius into the formula for finding the area use 3.14159 as the value of 376.8.. Going right `` this article was co-authored by grace Imson, MA and was previously in math... On should define this for you of wikiHow available for free I presume if. And square the radius of the circle be r cm formula so that you square the 'd ' otherwise answer. Is 22 looking for different ways comprehensive note from here `` I think this really helped me angle at centre. That ( estimates a circle in cm to area of the box by the area of circle! Up you are agreeing to receive emails according to our by multiplying by 3.14 instead of for., the problem may just tell you the measurement fireplace is 4 ft wide, so C= 72.22cm diameter something... Is answered how to find the area of the same way to find the area of the is! Provided information wikiHow is where trusted research and expert knowledge come together can you the!, circumference or area of a circle based on provided information the size of the circle with a contribution wikiHow. Like to have the same way to find the area of a pipe of page! Class is to have the same material and exterior dimensions, and inches after WWII, try comparison... Max should order 0.126 cubic meters of concrete to fill each hole business, estimating the cost of circle! Deep, how do I find the areas, and measure its interior by multiplying by instead! Numerical value, you would multiply 36 by π and get 36 other bits of provided data into that... Math teacher with over 40 years of teaching experience very good and detailed, me... Its types and theorems here instead of having you measure the outside of the circle in a box!