(a)[1]
Show that $\theta = 0.7297$, rounded to 4 decimal places.
(b)[7]
Determine the perimeter and the area of the shape $ABCD$. Give your answers to 3 significant figures.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The figure shows $AOD$ and $BC$ as a pair of parallel straight lines. Arc $AB$ lies on a circle with centre $O$ and radius $15\text{ cm}$. The angle $BOA$ is $\theta$ radians. Arc $CD$ lies on a circle with centre $O$ and radius $10\text{ cm}$. The angle $COD$ is $\frac{1}{2}\pi$ radians.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Angle correctly found as $\theta=\frac{\pi}{2}-\cos^{-1}\left(\frac{10}{15}\right)=0.7297$ (or equivalent)” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI