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Question

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

A
98 cm2
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B
147cm2
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C
196 cm2
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D
49 cm2
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Solution

The correct option is A 98 cm2
Given,
Radius of the circle=7cm
Let the side of the square be acm.
A square when inscribed in a circle then the diameter of the circle must be diagonal of the square.
Therefore,
Diagonal of square=a2+a2
=2a
Now,
Diameter of the circle=2×7
=14cm
=>2a=14
=>a=142
=>a=72cm
Therefore,
Area of square=a2
=(72cm)2
=(72cm)(72cm)
=98cm2

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