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Question

The circumference of a circle is equal to 88 cm. Find the circumference of a quarter-circle with the same radius.


A

44 cm

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B

22 cm

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C

28 cm

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D

50 cm

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Solution

The correct option is D

50 cm


The circumference of a circle with radius r is equal to 2π r units.

According to question,

C = 2πr = 88 cm

Putting π = 227, we get

r = (88×7)(22×2) = 14 cm

Circumference of the quarter circle = (C4) + 2r = (884) + 2 × 14 = (22+28) cm = 50cm


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