Question

if the circumference of a circle exceeds its diameter by 30 cm find the radius of the circle

Answer 1

here is the answer..

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Answer 2

Hey mate..
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Given,

The circumference of a circle exceeds its diameter by 30 cm.

So,

2πr = d + 30

=> πd = d + 30

=> πd - d = 30 ( °•° d = 2r )

=> d ( π - 1 ) = 30

=> d ( 22/7 - 1 ) = 30

=> d ( 22 - 7 / 7 ) = 30

=> 15d / 7 = 30

=> d = 30 × 7 / 15

=> d = 2 × 7

=> d = 14 cm

SInce,

r = d / 2

=> r = 14 / 2

=> r = 7 cm

Thus, The required radius of a circle is 7 cm

Hope it helps !!!!