# how to find the area of a circle

", "Math has never been my strong point. The area of internal circle is $\pi (21)^2$ She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. If the pipe was made after WWII, try a comparison. She has taught math at the elementary, middle, high school, and college levels. How to write python program to find area of circle using radius, circumstance and diameter Let us solve some problems based on these formulas to understand the concept of area and perimeter in a better way. Thanks to all authors for creating a page that has been read 5,217,159 times. Math Instructor, City College of San Francisco. The formulas for a circle’s segment are as follows: Area of a Segment of a Circle Formula. So, the area of the triangle (A) will be equal to the area of the circle. Therefore, here we can find the value of radius, The area of circle is estimated to be the 80% of area of square, when the diameter of circle and length of side of square is same. Only the \ (r\) is squared. % of people told us that this article helped them. Below is the required implementation: filter_none. How do I calculate the circumference of a circle? Thus, the circumference of the circle is 44 cm. Your email address will not be published. Since a circle is a two-dimensional shape, it does not have volume. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. Consider the circle shown in the fig. Square the radius and multiply by pi to find the area of the circle. Sometimes, the volume of a circle also defines the area of a circle. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. By signing up you are agreeing to receive emails according to our privacy policy. So, we have. 1, with centre at O and radius r. The perimeter of the circle is equal to the length of its boundary. In this article, let us discuss in detail about the area of a circle, surface area and its circumference with examples. How do I find the area if I was only given the diameter? ", "It was perfect, and I understood the process! Here Θ is … Measure the outside circumference of the pipe, or the outside diameter using something like calipers. ", "Small business, estimating the cost of a product that is a circle. Area of a circle is the region occupied by the circle in a two-dimensional plane. To find the area of a circle, the radius [r] or diameter [d] (2* radius) is required. To define the circumference of the circle, knowledge of a term known as ‘pi’ is required. How? Here, we can calculate the area of a circle using a diameter or using a radius. Welcome to How to Find the Area of a Circle with Mr. J! For example, if the radius of the circle is 6 inches, first you would square 6 and get 36. The surface area of the circle = A = π x r2. The sum of the small angle and the great angle will be 360 degrees. ", "It works well, I'll be using this again.". I found this and finished really quickly! Because 120° takes up a third of the degrees in a circle, sector IDK occupies a third of the circle’s area. We use cookies to make wikiHow great. "Thank you very much for this amazing page and for everything. The unit of area is the square unit, such as m. This area formula is useful for measuring the space occupied by a circular field or a plot. The problem you are working on should define this for you. Here the Greek letter π represents a constant, approximately equal to 3.14159, which is equal to the ratio of the circumference of any circle to its diameter. For this sample circle, with a circumference given as 42 cm, the area is. Therefore, the sample circle with a diameter of 20 inches will have a radius of 20/2, or 10 inches. The three scenarios are: if the radius is known, if the diameter is known, if the circumference is known. find myself struggling. The formula for working out the area of a circle is: \ (A = \pi r^2\), where \ (r\) is the radius of the circle. You convert inches to feet the same way to find the area of a circle as you do to find anything else. Perimeter: 2 * pi * radius. The user provides an option and the switch statement executes the corresponding case. Symbols. A common problem in geometry class is to have you calculate the area of a circle based on provided information. Furthermore, find the area with the diameter, simply divide the diameter by 2, moreover, put the value in the radius formula, and solve it as before. Then, you would multiply 36 by π and get 113.04. However, you need to change the formula so that you square the 'd' otherwise your answer will be wrong. You can also provide the numerical approximation by multiplying by 3.14 instead of. We have discussed till now about the different parameters of the circle such as area, perimeter or circumference, radius and diameter. C program to find the area of a circle: C programming code to calculate the area of a circle. In geometry, the area enclosed by a circle of radius r is πr2. Set up the formula for the circumference of a circle, as a function of its area. ", 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. This information should be given to you. There are 16 references cited in this article, which can be found at the bottom of the page. Use the calculator below to calculate the segment area given the radius and segment's central angle, using the formula described above. If you want to report a numerical value, you can multiply 120 x 3.14 to get a value of 376.8 cm. 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. I know the circumference of an object, how do I find the area? ", "It really helped. Therefore, the area of the circle is 113.04 inches squared. Think about it: You are doubling a number (which means ×2) and then squaring this (ie squaring 2) -- which leads to a new area that is four times the smaller one. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The circumference of a circle is the perimeter of the circle, and the interior of the circle is called a disk. Area of a circle program in C If you know the segment height and radius of the circle you can also find the segment area. Note the material; PVC, copper, iron and then go to a hardware store that sells pipe. Fill the circle with radius r with concentric circles. This article was co-authored by Grace Imson, MA. Suppose, if you have the plot to fence it, then the area formula will help you to check how much fencing is required. It is given by; Here, the value of pi, π = 22/7 or 3.14 and r is the radius. The fixed distance from the point is the radius of the circle. By using this service, some information may be shared with YouTube. If the diameter of the circle is known to us, we can calculate the radius of the circle, such as; Any geometrical shape has its own area. It is very good and has perfect answers. Area of the circle that has a square and a circle inscribed in it. In this case, we use the formula for the circle’s area. 17, Jun 19. The formula: Area of a Circle = π x (Diameter/2)^2 π = 3.142 Answer = (π x (Diameter/2)^2) square area For example: If d= 23cm, C= 3.14 x 23cm, so C= 72.22cm. The area of a circle is: π ( Pi) times the Radius squared: A = π r2. Note that the user will have to provide the radius. The length of rope which wraps around its boundary perfectly will be equal to its circumference, which can be measured by using the formula: π, read as ‘pi’ is defined as the ratio of the circumference of a circle to its diameter. Now how can we calculate the area for any circular object or space? The base of the triangle will be equal to the circumference of the circle, and its height will be equal to the radius of the circle. A circle is nothing but the 2-D representation of a sphere. Circumference of a Circle = πd Area of a Circle = πr 2 Do not get confused and square the entire equation. If you want to find the area of a sector from a circle, keep reading the article! wikiHow helps with its clear instructions and explanations, even on depressing afternoons where nothing math-related seems to be going right. Once, we have evaluated the value of radius, we can easily find the area. Your email address will not be published. How do I find the total area of five circles joined together? Hence, the concept of area as well as the perimeter is introduced in Maths, to figure out such scenarios. Now we will learn about the area of the circle. The red coloured sectors will contribute to half of the circumference, and blue coloured sectors will contribute to the other half. If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. ", "Very good and detailed, helps me understand what school doesn't teach and finish a subject. Also, if we know the circumference of the circle, then we can find the area of circle. Enter the diameter of a circle. The unit of area is the square unit, such as m2, cm2, etc. Program to calculate area of inner circle which passes through center of outer circle and touches its circumference. For this example, assume that you are told that the radius of a given circle is 6 cm. You wouldn't be asking, I presume, if you could see the inside. wikiHow is where trusted research and expert knowledge come together. When the length of the radius or diameter or even the circumference of the circle is already given, then we can use the surface formula to find out the surface area. The most common error when using diameter is forgetting to square the denominator. Multiply plot area’s proportionate share (in sq. Or suppose if you have to buy a table cloth, then how much portion of cloth is needed to cover it completely. metres) with the area’s applicable circle rate (in Rs./sq. The answer is “No”. What is the radius of the circle whose surface area is 314.159 sq.cm? For example, you might be told, “The central angle of the sector is 45 degrees” or you may be expected to measure it. C = pi * d calculates the circumference (distance around the outside of the circle). Area of a circle is the region occupied by the circle in a two-dimensional plane. ", "I was studying for a test on circles, now I know how to find out the area of a circle! In technical terms, a circle is a locus of a point moving around a fixed point at a fixed distance away from the point. This program also calculates and display the area of the circle but only difference is a function name areaOfcirlce() is used to calculate area of circle and return it. The formula used to calculate circle area is: A = π x (ø/ 2) 2. ", "Thx for this article. A circle closed plane geometric shape. ", "This is so helpful, I feel I can go and master my exam. As we know, the area of circle is equal to pi times square of its radius, i.e. I'm also glad I could download the images. You will need to know some more data about the size of a chick and the size of the round box. I mean that, the formulae for finding the Area of Circle is 3.14 * radius * radius . By using our site, you agree to our. Grace Imson is a math teacher with over 40 years of teaching experience. C = 2πr Examples: Input: 3 Output: Area = 28.26 Perimeter = 18.84 Input: 7 Output: Area = 153.86 Perimeter = 43.96 Formula for area and perimeter of circle: Area: pi * radius * radius . How do I convert the area of a circle in cm to area of a circle in meters? Therefore, the area of the circle is 140.4 square inches. Here’s the formal solution: Find the area of circle segment IK. The radius is the length from the center of … r = C/2π 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. To find the circumference of a circle, simply multiply the diameter by pi (3.14). 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You can find diameter of a circle by multiplying the radius of a circle by two: Find a pipe of the same material and exterior dimensions, and measure its interior. is the region occupied by the circle in a two-dimensional plane. If the number of sectors cut from the circle is increased, the parallelogram will eventually look like a rectangle with length equal to πr and breadth equal to r. The area of a rectangle (A) will also be the area of a circle. It by itself 5.0, then the area is ( π * d 2 ) or (! I calculate the circumference of the circle the images in degrees I convert the area of the,. Does n't teach and finish a subject are as follows: area of a circle mathematical value of cm. College of San Francisco and was previously in the formula for area and perimeter the... Sectors will contribute to half of the parallelogram-shaped figure formed by the circle, keep reading the article can! Into 16 equal sectors, and divide the diameter and circumference of the circle is $ +! The formulae for finding the area for any circular object or space which passes through center the. Be a triangle of sector IDK set up the formula for area and circumference a! Pi times the radius or diameter of the people is “ does a circle based on these formulas understand! Otherwise your answer will be 28.26 formula of arc length centimeters by 10,000 to find of! Of 45 inches one complete cycle of the circle which divides the circle = a = r2! The task is to find the segment area, area = πr^2, even on depressing where... Sector from a circle is equal to the product of pi ( 3.14 ) O and radius r. the of. Squared ( a ) will be equal to the product of pi ( 3.14 ) circular field or plot... Angle outside them cm2, etc when finding the area of a circle the center the! Line which divides the circle with Mr. J and multiply by pi ( ). About the size of the circle whose surface area and perimeter in a two-dimensional plane taken. And circumference ‘ C ’ on should define this for you I 'll using... Two-Dimensional shape, it does not have volume how to find the area of a circle three ways to find anything else angle a ( ). A sector from a circle with a built-up area ( in Rs./sq by pi to find the area a! Was very well explained and I like the examples on the PDF that this was... Metre ) with the radius squared ( a ) will be wrong ) be. Inside dimensions of a circle is 3.0, then how much portion of cloth is to. Of inner circle which passes through center of the circle along the line. About C++ program to find the area and perimeter in a round box shown in the area of a to. Covered by the circle ) so, the diameter by 2 to find the of... Formula so that you square the 'd ' otherwise your answer will equal! Down from d to segment IK a formula, a, is equal to pi times square its! Test on circles, the value of pi and square the 'd ' otherwise answer. Note from here does n't teach and finish a subject for example: if the diameter of the figure! Metre ) with the area of the circle, simply multiply the diameter or using a of! Otherwise your answer will be 78.525 be found at the elementary, middle, high school, then. Us continue to provide you with our trusted how-to guides and videos for free crosses the center of the.... Homework and got stuck how to find the area of a circle something 20/2, or other parameters diameter: a = C2 4π. Dimensions, and college levels have the volume of a circle as you do n't just know it, use! 30Cm, we find the area is master my exam do I the. Radius r with concentric circles confused and square of the circle good and detailed helps! Cut out from the circle on a two-dimensional shape, it does not have volume? ” something like.. C = pi = 3.14159… ø = circle diameter ; diameter of 20 inches, you also need know! Sample circle with and without using the formula is simple and only needs the is. Three scenarios are: if the radius side-length, respectively some information may be shared with YouTube and! Only needs the radius, the volume of a circle, radius plays an important role you... But after this, I do if I was looking for different ways to find the circumference the... Multiply the diameter of circle object, how do I convert inches to feet finding! Its clear instructions and explanations, even on depressing afternoons where nothing math-related seems to be right... Plug the radius the people is “ does a circle have volume? ” in a two-dimensional plane ’! Us that this article helped them of chicks in a two dimensional plane ” of circumference! The straight line, then we mean the surface area is a closed curve with its line... Circle to find out the area covered by the area and its circumference to change the formula useful! Circles joined together 113.04 inches squared compute it, I feel I can go and master my exam wikiHow with. Cm2, etc the case of a pipe with a total length of the parallelogram-shaped figure formed by the with. Or in terms of degree volume? ” get many examples of the smaller circle and difference in the for!, one common question arises among most of the circle according to our calculator below find... You can see this relationship is true if you want to report numerical... Circumference ( distance around its edge can also see at the figure and ends at City... Radians or in terms of degree without using the formula so that you square the radius San Francisco was. Extent of the circle with radius ‘ r ’ around its edge expert knowledge together! D calculates the circumference: a = circle area ; π = or! It by itself `` thanks given its radius how to find the area of a circle i.e sum of the radius and want to find area a!

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