To recall, the area is the region that populated the shape in a two-dimensional plane. In this article, friend will learn the area of a circle and also the formulas because that calculating the area that a circle.
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What is the Area the a Circle?
The area the the one is the measure up of the room or an ar enclosed within the circle. In basic words, the area the a one is the total number of square systems inside that circle.
For example, if you draw squares of dimensions 1cm by 1cm within a circle. Then, the total variety of full squares located inside the circle to represent the area of the circle. We have the right to measure the area the a one in m2, km2, in2, mm2, etc.
Formula for the Area that a Circle
The area that a circle have the right to be calculated using 3 formulas. This formulas are used depending top top the details you are given.
Let us talk about these formulas for finding the area the a circle.
Area that a circle utilizing the radius
Given the radius that a circle, the formula because that calculating the area of a circle states that:
Area the a one = πr2 square units
A = πr2 square units
Solution
Given the diameter,
A = πd2/4 square units
= 3.14 x 502/4
= (3.14 x 50 x 50)/4
=1962.5 cm2
Example 7
Calculate the area that a dinner plate, which has actually a diameter that 10 cm.
Solution
A = πd2/4 square units
= 3.14 x 102/4
= (3.14 x 10 x 10)/4
= 78.5 cm2
Example 8
The diameter that a circular plate is 20 cm. Find the size of a square plate that will have the exact same area as the circular plate.
Solution
Equate the area that the circle to the area that the square
πd2/4 = s2
3.14 x 202/4 = s2
s2 =314
Find the square source of both political parties to get,
s = 17.72
Therefore, the dimensions of the square plate will certainly be 17.72 centimeter by 17.72 cm.
Example 9
Find the diameter that a circle v an area the 156 m2.
Solution
A = πd2/4
156 = 3.14d2/4
Multiply both sides by 4.
624 = 3.14d2
Divide both sides by 3.14.
198.726 = d2
d = 14.1 m
Thus, the diameter of the circle will be 14.1 m.
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Area of a circle using the circumference
As we already know, the circumference of a circle is the distance about a circle. That is possible to calculation the area the a circle given its circumference.