(a)[3]
Express the area of the shaded region using $r$ and $\theta$.
(i)[3]
Express the area of the shaded region using $r$ and $\theta$.
(ii)[4]
Find the perimeter of the shaded region when $r = 3$ and $\theta = 1.2$.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram depicts a circle with centre $O$ and radius $r$ cm. Points $A$ and $B$ are on the circle, and $AT$ is tangent to the circle. Angle $AOB = \theta$ radians, and $OBT$ is a straight line.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Uses $\tan\theta=\frac{AT}{r}$ to write the lengths and area accurately.” …
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