(a)[2]
Find a formula for the perimeter of the design. Express your answer using $\pi$ and $r$.
(b)[5]
The perimeter of the design is now given as $200\text{ cm}$. Find the area of the design. Give your answer to 3 significant figures.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram illustrates a company’s new logo design. The circle sector, with centre $O$, has radius $r$ cm. The acute angle $AOC$ is $\frac{1}{3}\pi$ radians. The quadrilateral $OABC$ is a rhombus.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Arc length equals $\left(2\pi-\frac\pi3\right)r=\frac{5\pi r}{3}$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI