SEAMO 2026 Paper D SET 2 – Self-practice Question 25

Circles with centres $O_1,O_2$ are tangent at M. AB and CD are external tangents to both circles. Given $O_2E\perp O_1A$, $\angle AO_1C=120^\circ$ and $O_2B=1$ cm, find the shaded area. Leave your answer in terms of $\pi$.