Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The figure presents triangle $ABC$, where angle $ABC = 90^\circ$ and $AB = 4\text{ cm}$. Sector $ABD$ is part of a circle centred at $A$. Its area is $10\text{ cm}^2$.
(a)[2]

Find the angle $BAD$ in radians.

(b)[4]

Find the perimeter of the shaded area.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies sector area formula $\frac12 r^2\theta$

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