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Relation between Inradius and Perimeter of Triangle

In the given ...

Question

In the given figure, O is the centre of the circle. Find $∠$ CBD.

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Solution

°.° ABCP is a cyclic quadrilateral
.•. angle APC = angle CBD
angle APC = ½angle AOC
=> angle APC = 50°
•.• angle APC = angle CBD
=> angle CBD = 50°

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Relation between Inradius and Perimeter of Triangle

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