In fig. , OPQR is a rhombus whose three vertices P, Q, R lie on a circle of radius 8 cm.Find the area of the shaded region.
Math
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Question
In fig. , OPQR is a rhombus whose three vertices P, Q, R lie on a circle of radius 8 cm.Find the area of the shaded region.
1 Answer

1. User Answers kvnmurty
see diagram.
O is center of the circle. a = 8 cm (given)
b = OQ = a ;; d = PR = ?
In a Rhombus, 4 a² = b² + d² (diagonals)
So d = √3 a = 8 √3 cm
Area = bd/2 = 8*8√3 /2 = 32 √3 cm