TMUA 2022 Paper 1 Q14 — Worked Solution

P1·Trigonometry, Coordinate Geometry·7.0Official · 2022 · Q14

area-of-trianglecircle-geometrymaximise-area

A circle has centre

O

and radius

6

P

Q

and

R

are points on the circumference with angle

P O Q \geq \frac{π}{2}

.The area of the triangle

P O Q

93

.What is the greatest possible area of triangle

P R Q

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