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  1. The length of the two adjacent sides of a rectangle inscribed in a circle are 5 cm and 12 cm respectively. Then the radius of the circle will be
    1. 6 cm
    2. 6.5 cm
    3. 8 cm
    4. 8.5 cm
Correct Option: B

As per the given question , we draw a figure of rectangle ABCD inscribed in a circle ,

We know that , Diameter of circle = Diagonal of rectangle
Here , BC = 12 cm. CD = 5 cm.
∴ BD = √BC² + CD²
BD = √12² + 5²
BD = √144 + 25
BD = √169 = 13 cm.

∴ Radius of circle = BO =
BD
2

Radius of circle =
13
= 6.5 cm.
2



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