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Question

In fig. OPQR is a rhombus, three of whose vertices lie on the circle with centre O. If the area of the rhombus is 50 underoot3 cm sq., find the radius of the circle. Also, find the area of the sector ROPMR


Solution


Area of Rhombus =12d1d2
=12=PR×OQ=12=PR×rLet PR&OQ intersect at xOQ=Q×12rRX2+Ox2=OR2Rx2=OR2Ox2r2(r2)2=3r24Rr=32rorPR=3rA=12×3r×r=50/3or r2=100r=10cm
For area of sector ROPMR, Please specify where in r. Figure is not enclosed

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