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Question
If the difference between the circumference and the radius of a circle is 37 cm, then using`22/7`, the circumference (in cm) of the circle is:
Options
(A) 154
(B) 44
(C) 14
(D) 7
Solution
Difference between circumference and radius of the circle = 37 cm
Let r be the radius of the circle.
`therefore 2 pi r-r=37 cm`
`rArr r(2pi-1)=37cm`
`rArr r(2xx22/7-1)=37 cm`
`rArrrxx37/7=37cm`
`rArrr=7cm`
∴ Circumference of the circle = `2pir=2xx22/7xx7cm=44cm`
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