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:(A) 154 (B) 44 (C) 14 (D) 7 - Mathematics

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MCQ

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

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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`

  Is there an error in this question or solution?
2012-2013 (March) Delhi set 3

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