# Find the area of a circle whose circumference is 22 cm.

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Find the area of a circle whose circumference is 22 cm.

answered Mar 15 by (-2,750 points)

Let r be the radius of the circle, then circumference = 2πr

⇒ 2πr  = 22 cm

⇒  r = 22/2π = 22 × 7/2 × 22 = 7/2 cm

∴   Area of circle = πr2

= 22/7 × 7/2 × 7/2 cm2 = 77/2 cm2

= 38.5 cm