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Question

# In the given figure, the area enclosed between two concentric circles is 808.5 cm2. The circumference of the outer circle is 242 cm. Calculate the radius of the inner circle

A
32 cm
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B
35 cm
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C
23 cm
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D
48 cm
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Solution

## The correct option is D 35 cmLet the radius of the inner circle be r and the radius of the outer circle be RArea enclosed between the two concentric circles =π(R2−r2)Given 2πR=242⇒R=242×722×2⇒R=772Now, π(R2−r2)=808.5⇒(772)2−r2=808.5×722⇒59294−r2=257.25⇒r2=1225⇒r=35Thus, Radius of the inner circle =35 cm

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