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If the area of a circle is 1386 cm^2, its radius is ______. - Mathematics

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Question

If the area of a circle is 1386 cm2, its radius is ______.

Options

  • 14 cm

  • 10.5 cm

  • 21 cm

  • 28 cm

MCQ
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Solution

If the area of a circle is 1386 cm2, its radius is 21 cm.

Explanation:

The area of the circle is given by the formula:

Area = πr2

Given the area is 1386 cm2 and using `π = 22/7`,

`1386 = 22/7 r^2`

`r^2 = (1386 xx 7)/22`

r2 = 63 × 7

r2 = 441

r = `sqrt(441)`

r = 21 cm

So, the radius of the circle is 21 cm.

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Chapter 17: Mensuration - MULTIPLE CHOICE QUESTIONS [Page 215]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 17 Mensuration
MULTIPLE CHOICE QUESTIONS | Q 7. | Page 215
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