(i)[3]
Determine the area of the shaded region, expressed in terms of $\alpha$.
(ii)[3]
Determine the perimeter of the shaded region, expressed in terms of $\alpha$.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram represents triangle $ABC$, with $AB$ perpendicular to $BC$. $AB$ measures $4 \text{ cm}$ and angle $CAB$ is $\alpha$ radians. The arc $DE$ has centre $A$ and radius $2 \text{ cm}$, and it cuts $AC$ at $D$ and $AB$ at $E$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Triangle area correctly given as $\tfrac12\times4\times4\tan\alpha$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI