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The circumference of a circle exceeds the diameter by16.8cm .Find the circumference of the circle ?

Posted by Leesarani Pradhan 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 1 month ago

We know that circumference of a circle = 2π r.

We know that diameter = 2r.

Given circumference of a circle exceeds diameter by 16.8cm.

2πr - 2r = 16.8

2r(π - 1) = 16.8

2r(22/7 - 1) = 16.8

2r(22 - 7/7) = 16.8

2r(15/7) = 16.8

30r = 16.8 * 7

30r = 117.6

r = 117.6/30

r = 3.92 cm.

Therefore the radius of the circle = 3.92cm.

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