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Question

The shaded area between the circumferences of two concentric circles is 346.5 cm2. The circumference of the inner circle is 88 cm. Calculate the radius of the outer circle. [Take π=227]

A
35 cm
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B
32 cm
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C
17.5 cm
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Solution

The correct option is C 17.5 cm
Let the radii of inner circle and outer circle be r and R respectively.
Then, 2×227×r=88
r = 14 cm.

Area of the inner circle = 227×14×14 cm2=616cm2
Area of the outer circle = (616 + 346.5) cm2 = 962.5 cm2
Then, 227×R2=962.5
R2=962.5×722=6.25×7×7
R=2.5×7 = 17.5 cm

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