If the radius of a circle passing through all vertices of a rectangle is 4cm then the length of diagonal is

6 cm

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8 cm

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10 cm

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2 cm

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Solution

The correct option is B 8 cm

Given a circle is passing through all the vertices of the rectangle ABCD.

In a cyclic quadrilateral sum of opposite internal angles is $180^{\circ}$ .

Since $∠ B A D = ∠ B C D = 90^{\circ}$ , ADB and BDC are semicircles as angle in a semi-circle is $90^{\circ}$ .

BD is the diameter of the circle and also the diagonal of the rectange.

BD = 2(radius) = 8 cm

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