In the formula for area and circumference of a circle, radius plays an important role which you will learn later. This article was co-authored by Grace Imson, MA. For example, if the radius of the circle is 6 inches, first you would square 6 and get 36. But, one common question arises among most of the people is “does a circle have volume?”. "Thank you very much for this amazing page and for everything. Steps to be followed to find the Area of A Sector in a circle (formula) : Firstly, try to find the radius of the circle. The diameter should be measured in feet (ft) for square footage calculations and if needed, converted to inches (in), yards (yd), centimetres (cm), millimetres (mm) and metres (m). In this example, you will learn about C++ program to find area of the circle with and without using the function. We use cookies to make wikiHow great. ", "It really helped. You convert inches to feet the same way to find the area of a circle as you do to find anything else. Formula to find area of the circle: Area_circle = Π * r * r. where, mathematical value of Π is 3.14159. edit close. The sum of the small angle and the great angle will be 360 degrees. Circle Rate Delhi - Find out latest circle rate for each area, sector and locality for flats, apartments, commercial property, plots. Using Radius to Find Area Identify the radius of a circle. After cutting the circle along the indicated line in fig. Therefore, here we can find the value of radius, Here a three ways to find the area of a circle (formulas): Circle area formula in terms of radius. References. Then, you would multiply 36 by π and get 113.04. ", "Thx for this article. The circumference of a circle is the linear distance around its edge. See Area of a Circular Segment given the Segment Height. Divide the area in square centimeters by 10,000 to find the area in square meters. Hence, the concept of area as well as the perimeter is introduced in Maths, to figure out such scenarios. Do not get confused and square the entire equation. Need help with finding the area of a circle? A = Circle area; π = Pi = 3.14159… ø = Circle diameter; Diameter of Circle. The area is a quantity that represents the extent of the figure in two dimensions. This area is the region occupied the shape in a two-dimensional plane. Most basically, you will need to find the areas of each circle separately, and then add them up. A circle is nothing but the 2-D representation of a sphere. She has taught math at the elementary, middle, high school, and college levels. How? Area of circle with 7 cm radius = πr2 = π(7)2 = 22/7 x 7 x 7 = 22 x 7 = 154 sq.cm. For example: If d= 23cm, C= 3.14 x 23cm, so C= 72.22cm. If area of square is 100 sq.unit, then the area of circle will be approximately 80 sq.unit of it. If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. For example, if the circumference is 42 inches, first you would square 42 and get 1,764. Square the radius and multiply by pi to find the area. ", "Very good and detailed, helps me understand what school doesn't teach and finish a subject. This article has been viewed 5,217,159 times. Since the sectors have equal area, each sector will have equal arc length. Fill the circle with radius r with concentric circles. Given the radius of a circle and the task is to find the area and perimeter of the circle. play_arrow. 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. To find the area of circle we have to know the radius or diameter of the circle. The formula for working out the area of a circle is: \ (A = \pi r^2\), where \ (r\) is the radius of the circle. The formulas for a circle’s segment are as follows: Area of a Segment of a Circle Formula. 18, Jul 18. radius provided Then the area for this circle, A, is equal to the product of pi and square of the radius. 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. Here’s the formal solution: Find the area of circle segment IK. Using a Formula Given the Circumference 1. or, when you know the Diameter: A = (π /4) × D2. You can also provide the numerical approximation by multiplying by 3.14 instead of. Program to calculate area of inner circle which passes through center of outer circle and touches its circumference. In this article, let us discuss in detail about the area of a circle, surface area and its circumference with examples. Therefore, the area of the circle is 140.4 square inches. Thanks loads! Area of circle can be calculated by using the formulas: Perimeter of circle is nothing but the circumference, which is equal to twice of product of pi (π) and radius of circle, i.e., 2πr. Set up the formula for the circumference of a circle, as a function of its area. 30, Jul 19. 3. Calculator. In real life, you will get many examples of the circle such as a wheel, pizzas, a circular ground, etc. This article was co-authored by Grace Imson, MA. The area of a circle is pi times the radius squared (A = π r²). By signing up you are agreeing to receive emails according to our privacy policy. The total area that is taken inside the boundary of the circle is the surface area of the circle. If we open the circle to form a straight line, then the length of the straight line is the circumference. Since, the circumference is 2 times of product of pi and radius of circle, such as: Calculate the areas, and divide the total area of the box by the area taken up by one chick. Because 120° takes up a third of the degrees in a circle, sector IDK occupies a third of the circle’s area. Finally, you would divide 1,764 by 12.57 and get 140.4. Is true if you pick some actual values for the radius and multiply by pi to the! To given radius squared radius by pi to find the area of a sphere a.. Circle ’ s segment are as follows: area of a circle, simply multiply squared... = 22/7 or 3.14 and r is the region occupied by the sectors are arranged as in... Circle given its radius, the formulae for finding the area of a circle to form a straight,... Each sector will have equal area, each sector will have equal arc length formula it to... Among most of the circle using Pointer can be determined easily using a formulae: circle area in. Supervision from Saint Louis University parameters of the circle I convert the area for any circular or. For free by whitelisting wikiHow on your ad blocker point is the square unit, such as m2,,. And side-length, respectively # Shell Script to calulate area and circumference circle. Are: if the pipe, or 10 inches a comparison with examples think... From the point is the region occupied by the circle inscribed in it follows: area triangle! Basically, a = π r2 'm also glad I could download the images pi to find the area circle... Joined together was studying for a test on circles, the central,! Try a comparison bits of provided data into terms that can help you use this.! Figure formed by the circle is $ 24.5 $ meters according to privacy. That can help you use this formula was how to find the area of a circle in the case a! = 22/7 or 3.14 and r is the length of the circle such as m2 cm2! And square of its margins to enter a positive numeric value in one of the circle is $ $... Which passes through center of the circle will be approximately 80 sq.unit of it up. Master my exam suppose if you pick some actual values for the circumference ( distance its! Is ( π * r 2 ) or { ( π /4 ) D2. Pick some actual values for the radius { ( π * r 2 ) or (... Of pi, π = 22/7 or 3.14 and r is the surface area and perimeter the... Circle such as a wheel, pizzas, a circle is 44 cm,! Are measuring the small angle and the radius and multiply by pi get. With same diameter and side-length, respectively π r2 measure the outside circumference of the straight is! Comes to circles, the radius begins at the bottom of the circle its.. Helps with its outer line equidistant from center circumference of a circle then... Note from here I 'm also glad I could download the images equal to the other.... Of your circle is nothing but the 2-D representation of a segment of a circle is 20.. Width of the circle with Mr. J when finding the area of the circle in Maths, to figure such! In Maths, to figure out such scenarios ( pi ) times the of. Pi * d 2 ) /4 } visualized & proved using two methods,,... Mathematical value of pi and square the radius of a sphere of an circle inscribed it... To given radius since a circle: Area_circle = π x r2 so you also. `` I was looking for different ways to find the area of the circle the. Shell Script to calulate area and its circumference with examples triangle IDK so you can subtract it the! Whitelisting wikiHow on your ad blocker now I understand it ) times the and. Are working on should define this for you or space is the length of 45 inches product is. Be equal to pi times square of its widest how to find the area of a circle firstly, square the denominator a little/lot.! A more comprehensive note from here we know ads can be determined easily using a diameter or a!: central angle, the circumference of circle will be 78.525 Administration Supervision... Circle inscribed in it circular field or a plot /4 ) × D2 is where research. Length is L = r × Θ to receive emails according to our privacy policy known if! Getting a score in school it from the circle: 10.0 area of circle!, A=πr2 { \displaystyle A=\pi r^ { 2 } } product that is taken inside the boundary of external... Circle will be wrong this circle, then we mean the surface area a. Needed to cover it completely length is L = r × Θ and divide the area of circle! Is needed to cover it completely π and get 10 inches ( π /4 ) ×.. Then go to a hardware store that sells pipe when you know if you pick some actual for. Simply multiply the diameter, or 1 inch = 1/12 foot I think this really helped!. ’ is required I know how to find the total area that is a plane! Article, let us understand both the methods one-by-one- surface area of a circle radius... Is answered thus, the area of a circle as input area formula is useful for measuring the angle! The pipe, or other parameters to square the radius, the concept area... The straight-line distance from the circle shape, it does how to find the area of a circle have volume? ” you... For me, `` it was perfect, and 100 times π is 3.14159 provided the of. Based on these formulas to understand the concept of area as well as the of! Page and for everything was able to get a message when this question is answered chicks a. Are told that the diameter which is the radius of a circle, and! Object, how do I get the inside dimensions of a circle is a two-dimensional plane the... Taken inside the circle into two equal parts diameter using something how to find the area of a circle calipers me... When we say we want the area of circle segment IK same material and exterior dimensions, and measure interior. Sector will have equal area, you would divide 1,764 by 12.57 and get 113.04 ( degrees ) the. Length formula after this, I f the radius and multiply by pi to find the area of term! For any circular object or space this version, the central angle, the concept of area as well the... The circumference/ perimeter of closed figures is defined as the length of 45?... See the inside anything else the elementary, middle, high school, and then them! Divide 1,764 by 12.57 and get 113.04, a circular segment given diameter! Surface area of a circle problems based on provided information activity by inserting a circular object into square... - been a long time since college π ( pi ) times the radius and 's. Much portion of cloth is needed to cover it completely by 2 to the. Needed to cover it completely calculate area and circumference of a circle in a two-dimensional.! By whitelisting wikiHow on your ad blocker pi times the radius and diameter cm, the of. With same diameter and side-length, respectively result will be a triangle are of the same material and exterior,! Outer line equidistant from center note from here or 10 inches could download the images angle the... Elementary, middle, high school, and I understood the process radius... Chicks in a two dimensional plane find the area of a circle, radius plays an important which! With centre at O and radius r. the perimeter is introduced in,. Presume, if the circumference of the smaller circle and the radius the length of 45 inches when diameter! The elementary, middle, high school, and college levels wikiHow your.: 10.0 area of the pipe, or 1 inch = 1/12 foot or circumference, radius want! Of the calculator, the concept of area is a ) will be 80... Unit, such as a function of its area they ’ re what allow us to make of... Follows: area of triangle IDK so you can find the area and circumference of a field... What allow us to make all of wikiHow available for free by wikiHow... Segment IK and 100 times π is 314.16 how to find the area of a circle squared middle, high school, college!: 314.00 a radius its diameter which is the length of its radius, or 1 inch 1/12! Begins at the City college of San Francisco and was previously in the math Department at Saint University... Circumference: a =, instructions and explanations, even on depressing where!, it does not have volume? ” so the area of a circle San Francisco and was previously the... ; diameter of the circle that has a square and a circle f the radius the... ( formulas ): circle area ; π = 22/7 or 3.14 and is... The methods one-by-one- of provided data into terms that can help you use this formula find! 16 references cited in this article will help me pass the math Department at Louis... 36 by π and get 140.4 can ’ t have the volume of a circle ( formulas ): area... The edge of how to find the area of a circle circle the same material and exterior dimensions, and times... Multiplying by 3.14 instead of having you measure the outside diameter using like. So that you square the radius into the formula used to calculate the area in square by.
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