Official papers

Official 2022 Paper 1 · Q14

Paper 1Geometry

A circle has centre OO and radius 6.

PP, QQ and RR are points on the circumference with angle POQ≥π2POQ\ge\dfrac\pi2.

The area of the triangle POQPOQ is 939\sqrt3.

What is the greatest possible area of triangle PRQPRQ?

A18+9318+9\sqrt3
B18318\sqrt3
C27+9327+9\sqrt3
D27327\sqrt3
E36+9336+9\sqrt3
F36336\sqrt3

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