Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram depicts a metal plate $OABC$, made up of a right-angled triangle $OAB$ and a sector $OBC$ from a circle with centre $O$. Angle $AOB = 0.6$ radians, $OA = 6\,\text{cm}$ and $OA$ is perpendicular to $OC$.
(i)[1]

Show that $OB$ measures $7.270\,\text{cm}$, correct to 3 decimal places.

(ii)[3]

Find the total perimeter of the metal plate.

(iii)[3]

Find the total area of the metal plate.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies trigonometry to obtain $OB=\frac{6}{\cos0.6}$

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