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Question

The area of a circle is 49 π cm2. Its circumference is 

(a) 7 πcm                (b) 14 πcm              (c) 21 πcm            (d) 28 πcm


Solution

The area of a circle is found using the formulaAreaofacircle=π×r2 T

So the area of your circle is  49π

so:
49π = \pi\times r ^2 \)

 solve for r; start by dividing each side by π
49=r2 take the square root of each side:
7 = r

This circle has a radius of 7.

To find the circumference of a circle, use the formula Circumference=2π×r .

Since we solved for the radius by extracting it from the area, we can find the circumference:
Circumference=2π×r   [ r=7]
Circumference=2π×7

Circumference=14π

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