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The area of a circle is 49 π cm2. Its circumference is: - Mathematics

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Question

The area of a circle is 49 π cm2. Its circumference is:

Options

  • 7 π cm

  • 14 π cm

  • 21 π cm

  • 28 π cm

MCQ

Solution

14π cm

Explanation:

Let the radius be r cm.

We know:

Area of a circle

Thus, we have;

πr2 = 49π

⇒ r2 = 49

`⇒ r = sqrt(49)`

⇒ r = 7

Now,
Circumference of the circle = 2πr

`= (2xx22/7xx7) "cm"`

= 14π cm

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Chapter 18: Area of Circle, Sector and Segment - Multiple Choice Questions [Page 846]

APPEARS IN

RS Aggarwal Mathematics [English] Class 10
Chapter 18 Area of Circle, Sector and Segment
Multiple Choice Questions | Q 2 | Page 846
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