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In the adjoining figure, if O is the centre of the circle, PQ is a chord, ∠POQ = 90°, area of shaded region is 114 cm2, find the radius of the circle, (π = 3.14)

1 Answer

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Best answer

Given: Central angle (θ) = ∠POQ= 90° , 

A (segment PRQ) = 114 cm2 

To find: Radius (r). 

A (segment PRQ)

…[Taking square root of both sides] 

∴ r = 20 cm 

∴ The radius of the circle is 20 cm.

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