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circle. Find the angle subtended by the chord ata point on the minor arc and also at a point on themajor arc.3. In Fig. 10.37, PQR 100, where P, Q and R arepoints on a circle with centre O. Find ZOPR |
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Answer» Reflex ∠POR = 2 × ∠PQR = 2 × 100° = 200°∴ ∠POR = 360° - 200° = 160°In ΔOPR,OP = OR (radii of the circle)∠OPR = ∠ORPNow,∠OPR + ∠ORP +∠POR = 180° (Sum of the angles in a triangle)⇒ ∠OPR + ∠OPR + 160° = 180°⇒ 2∠OPR = 180° - 160°⇒ ∠OPR = 10° |
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