(i)[2]
Show that the radius of the semicircle is $5.646\,\text{cm}$, 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.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram depicts a metal plate $ABCD$ formed from two separate parts. The part $BCD$ is a semicircle. The part $DAB$ is a segment of a circle with centre $O$ and radius $10\,\text{cm}$. Angle $BOD$ is $1.2$ radians.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies trigonometric ratio $\frac{r}{10}=\sin0.6$ or $\cos0.97$.” …
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