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The circumference of a circle exceeds th...

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

Text Solution

Verified by Experts

Let the radius of the circle be r.
Diameter = 2r
Circumference of circle `= 2 pi r`
Using the given information, we have
`2 pi r= 2r + 16.8`
`rArr 2 xx (22)/(7) xx r = 2r + 16.8 " " rArr 44r = 14 r + 16.8 xx 7`
`rArr 30 r = 117.6 " " rArr r = (117.6)/(30) = 3.92 cm`
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