if the circumference of a circle exceeds its diameter by 30 cm find the radius of the circle
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here is the answer..
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Bhaavya1:
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Hey mate..
=========
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 !!!!
=========
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 !!!!
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