Q. 11 A34.0( 6 Votes )

The length of radius of a circle with centre O is 5 cm. P is a point at the distance of 13 cm from the point O. The length of two tangents are PQ and PR from the point P. The area of quadrilateral PQOR is
A. 60 sq cm.

B. 30 sq cm.

C. 120 sq cm.

D. 150 sq cm.

Answer :

Length of tangent using Pythagoras theorem = √(132-52)


Length of tangent = √ 144 = 12 cm


PQ = PR = 12 cm


So there are two right angles in the quadrilateral PQOR


Area of quadrilateral PQOR = (PQ× Radius) = 60 sq cm.


So A is the correct Option.

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