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Mathematics

Find the radius and circumference of a circle whose area is 144π cm2.

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Answer

Let radius = r cm.

Area of circle = πr2

⇒ 144π = πr2

⇒ r2 = 144

⇒ r = 144\sqrt{144} = 12 cm.

Circumference of a circle = 2πr

= 2×227×122 \times \dfrac{22}{7} \times 12

= 5287=7537\dfrac{528}{7} = 75\dfrac{3}{7} cm.

Hence, radius = 12 cm and circumference = 753775\dfrac{3}{7} cm.

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