(a)[4]
Find the values for $r$ and $\theta$.
(b)[2]
Find the area of triangle $ACB$.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram depicts a sector of a circle with centre $C$. The radii $CA$ and $CB$ each measure $r$ cm, and the reflex angle $ACB$ has size $\theta$ radians. The shaded sector has perimeter $65$ cm and area $225\text{ cm}^2$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State the relations $2r+r\theta=65$ and $\tfrac12 r^2\theta=225$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI