O is the centre of the circle and points P and R are on the circle. Quadrilateral OPQR is a rhombus with side 18cm. RS is perpendicular to OP and angle POR=30°. Find the area of the shaded region

Asked by elsasmith784 | 28th Mar, 2018, 09:36: PM

Expert Answer:

begin mathsize 16px style Area space of space rhombus space equals space height space cross times side equals SR cross times OP
SR equals space OR space sin 30
straight A rea space of space sector space OPR equals straight theta over 360 cross times πr squared
now space area space of space shaded space region equals space Area space of space rhombus space minus space area space of space sector space OPR
end style

Answered by Arun | 1st Apr, 2018, 09:19: AM

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