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A Square is Inscribed in a Circle of Radius 7 Cm. Find the Area of the Square. - Mathematics

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Question

A square is inscribed in a circle of radius 7 cm. Find the area of the square.

Sum

Solution

Since the diameter of the circle is the diagonal of the square inscribed in the circle.
Let a be the length of the sides of the square.
Hence,
`sqrt2a` = 2 x 7
a = `sqrt2` x 7
a2 = 98
Hence the area of the square is 98 sq.cm.

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Chapter 20: Area and Perimeter of Plane Figures - Exercise 20 (C) [Page 262]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 20 Area and Perimeter of Plane Figures
Exercise 20 (C) | Q 24 | Page 262

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