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Question

# Find the diameter of a circle whose circumference is 10π cm.

A
10 cm
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B
5 cm
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C
20 cm
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D
π cm
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Solution

## The correct option is A 10 cmGiven, the circumference of the circle is 10π cm. The circumference of the circle is given by C=2πr, where r is the radius of the circle. ∴10π=2π×r Divide both sides by 2π ⇒10π2π=2π×r2π ⇒5×2π2π=r ⇒5=r ⇒r=5 cm We know that, the diameter of the circle(d) is twice its radius(r). d=2×r =2×5 cm =10 cm Hence, option (a.) is the correct choice.

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