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The circumference of a circle is 22 cm. Find its area. [Take π = 22/7.]

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Question

The circumference of a circle is 22 cm. Find its area. [Take `π = 22/7`.]

Sum
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Solution

Let r cm be the radius of the circle.

Now,

Circumference of the circle:

`2pi"r" = 22`

`rArr 2 xx 22/7 xx r=22`

`=>"r" = (22xx7/44) "cm"`

`=> "r" = 7/2`

Also,

Area of the circle = πr2

`= (22/7xx7/2xx7/2) "cm"^2`

`= 77/2 " cm"^2`

= 38.5 cm2

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Chapter 16: Area of Circle, Sector and Segment - TEST YOURSELF [Page 764]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 16 Area of Circle, Sector and Segment
TEST YOURSELF | Q 5. | Page 764
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