Question

the circumference of circle exceeds the diameter by 16.8 cm.find the radius of the circle ?

Answer 1

let the radius of the circle be r cm .

given, circumference of the circle.


= diameter of circle + 16.8

2πr = 2r + 16.8


$2 \times \frac{22}{7} \times r = 2r + 16.8$

44r = 14r + 16.8 ×7

30r = 117.6


$r = \frac{117.6}{30} = 3.92m$


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Answer 2

Diameter = 2r

Circumference = 2pir

2r + 16.8 = 2pir

16.8 = 2pir - 2r

16.8 = 2r (pi - 1)

16.8 = 2r (22/7 - 1)

16.8 = 2r ((22-7)/7)

16.8 = 2r (15/7)

16.8 = 30r/7

16.8*7 = 30r

117.6 = 30r

117.6/30 = r

3.92 cm = r

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