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The Circumference of a Circle is 22 Cm. Find Its Area. - Mathematics

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Question

The circumference of a circle is 22 cm. Find its area.

Sum

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 18: Area of Circle, Sector and Segment - Formative Assessment [Page 852]

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RS Aggarwal Mathematics [English] Class 10
Chapter 18 Area of Circle, Sector and Segment
Formative Assessment | Q 5 | Page 852
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