In the diagram, a square is drawn such that the diagonally opposite corners touch the Centre and the circumference of a circle with radius, $r .$ what is the area of the of the square?

r²/4

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2r²

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r²

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r²/2

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Solution

The correct option is D
r²/2

The diagonally opposite corners of the square are touching the Centre and the circumference of the circle. We can conclude that the length of the diagonal is equal to the radius of the circle.

Area of the square with diagonal, $r = \frac{1}{2} \times r^{2}$

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In the diagram, a square is drawn such that the diagonally opposite corners touch the Centre and the circumference of a circle with radius, r. what is the area of the of the square?

The correct option is D r2/2 The diagonally opposite corners of the square are touching the Centre and the circumference of the circle. We can conclude that the length of the diagonal is equal to the radius of the circle. Area of the square with diagonal, r=12×r2

In the diagram, a square is drawn such that the diagonally opposite corners touch the Centre and the circumference of a circle with radius, $r .$ what is the area of the of the square?

The correct option is D
r²/2

The diagonally opposite corners of the square are touching the Centre and the circumference of the circle. We can conclude that the length of the diagonal is equal to the radius of the circle.

Area of the square with diagonal, $r = \frac{1}{2} \times r^{2}$