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Question

The circumference of a circle exceeds the diameter by 16.8 cm. Find the radius of the circle.

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Solution

Let the radius of the circle be r cm.
Diameter =2r cm and Circumference = 2πr cm

Therefore,
2πr=2r+16.8
2×227×r=2r+16.8
44r=14r+16.8×7
30r=117.6
r=3.92
Hence, radius =3.92 cm

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