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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
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- 6 cm
- 6.5 cm
- 8 cm
- 8.5 cm
- 6 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 = | |
2 |
Radius of circle = | = 6.5 cm. | |
2 |