prove that area of cricle is πr²
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Step-by-step explanation:
As we know, the area of circle is equal to pi times square of its radius, i.e. π x r2. To find the area of circle we have to know the radius or diameter of the circle.
For example, if the radius of circle is 7cm, then its area
will be:
Area of circle with 7 cm radius = πr2 = π(7)2 = 22/7 x 7 x 7 = 22 x 7 = 154 sq.cm.
Also, if we know the circumference of the circle, then we can find the area of circle.
How?
Since, the circumference is 2 times of product of pi and radius of circle, such as:
C = 2πr
Therefore, here we can find the value of radius,
r = C/2π
Once, we have evaluated the value of radius, we can easily find the area
....hope helps
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