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Q.

The dimensions of a rectangle are 6 cm and 8 cm which is inscribed in a circle.  The radius of the circle is _____ (in cm)

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answer is 5.

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Detailed Solution

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From the diagram ABC,

Hypo2=Opp2+adj2

AC2=62+82

AC=36+64

AC=100

AC=(10)2

AC=10

Diameter of  AC=10

Radius =d2=102=5 cm

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The dimensions of a rectangle are 6 cm and 8 cm which is inscribed in a circle.  The radius of the circle is _____ (in cm)