To recall, the area is the an ar that lived in the form in a two-dimensional plane. In this article, friend will discover the area of a circle and the formulas for calculating the area that a circle.
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What is the Area of a Circle?
The area the the circle is the measure up of the space or region enclosed inside the circle. In straightforward words, the area that a circle is the total variety of square units inside the circle.
For example, if you draw squares of size 1cm by 1cm inside a circle. Then, the total number of full squares located inside the circle represents the area the the circle. We deserve to measure the area that a circle in m2, km2, in2, mm2, etc.
Formula because that the Area the a Circle
The area that a circle can be calculate using 3 formulas. This formulas are applied depending top top the info you space given.
Let us discuss these formulas because that finding the area the a circle.
Area of a circle utilizing the radius
Given the radius of a circle, the formula because that calculating the area the a circle states that:
Area of a circle = 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 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 of a circular plate is 20 cm. Find the dimensions of a square plate the will have the same area as the one plate.
Solution
Equate the area that the circle to the area of the square
πd2/4 = s2
3.14 x 202/4 = s2
s2 =314
Find the square root of both political parties to get,
s = 17.72
Therefore, the dimensions of the square plate will certainly be 17.72 cm by 17.72 cm.
Example 9
Find the diameter of a circle v an area that 156 m2.
Solution
A = πd2/4
156 = 3.14d2/4
Multiply both political parties by 4.
624 = 3.14d2
Divide both political parties by 3.14.
198.726 = d2
d = 14.1 m
Thus, the diameter that the circle will certainly be 14.1 m.
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Area that a circle utilizing the circumference
As we currently know, the circumference of a circle is the distance approximately a circle. The is feasible to calculate the area that a circle given its circumference.