The Circumference of a Circle is 22 Cm. the Area of Its Quadrant (In Cm2) is - Mathematics

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MCQ

The circumference of a circle is 22 cm. The area of its quadrant (in cm2) is

 

Options

  • A.`77/2`

  • B.`77/4`

  • C.`77/8`

  • D.`77/16`

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Solution

Let the radius of the circle be r cm.

Given: Circumference of circle = 22 cm

`therefore 2pir=22cm`   `[therefore\text{Circumference of circle = 2pir}]`

`rArrr=22/(2pi)cm`

`rArrr=(22xx7)/(2xx22)cm`

`rArrr=7/2cm`

Area of quadrant of circle

`=1/4(\text{Area of circle})`

`=pi_4^1xxr^2`

`=1/4xx22/7xx7/2xx7/2cm^2`

`=77/2cm^2`

Hence, the correct answer is C.

  Is there an error in this question or solution?
2011-2012 (March) All India Set 1

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