From a point P which is at a distance of 13 cm from centre

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From a point P which is at a distance of 13 cm from centre O of a circle of radius 5 cm, in the same plane, a pair of tangentsPQ and PR are drawn to the circle. Area of quadrilateral PQOR is

1. 65 cm²
2. 60 cm²
3. 30 cm²
4. 90 cm²

Correct Option: B

∠OQP = ∠ORP = 90°
PQ = √OP² - OQ²
= √13⊃ - 5⊃ = 12
∴ Area of PQOR = 2 × ∆OPQ

= 2 ×	1	× 5 × 12
	2

= 60 sq. cm