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A square is inscribed in a circle of radius 14 cm. The area of square is ______. - Mathematics

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Question

A square is inscribed in a circle of radius 14 cm. The area of square is ______.

Options

  • 288 cm2

  • 98 cm2

  • 196 cm2

  • 392 cm2

MCQ
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Solution

A square is inscribed in a circle of radius 14 cm. The area of square is 392 cm2.

Explanation:

The square’s diagonal equals the circle’s diameter = 2r = 28 cm.

 If d is the diagonal, area of the square = `d^2/2`.

So, area = `28^2/2`

= `784/2`

= 392 cm2

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Chapter 16: Mensuration - Exercise 16E [Page 346]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 16 Mensuration
Exercise 16E | Q 10. | Page 346
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