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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