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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 cm
Given, 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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