Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram presents a cross-section $RASB$ of an aircraft body. It is made up of a sector $OARB$ of a circle with radius $2.5\,\text{m}$ and centre $O$, a sector $RASB$ of a second circle with radius $2.24\,\text{m}$ and centre $P$, and a quadrilateral $OAPB$. Angle $AOB = \frac{2\pi}{3}$ and angle $APB = \frac{5\pi}{6}$.
(a)[3]
Find the perimeter of cross-section $RASB$, and give your answer correct to 2 decimal places.
(b)[2]
Find the difference in area between triangles $AOB$ and $APB$, giving your answer correct to 2 decimal places.
(c)[3]
Find the area of cross-section $RASB$, giving your answer correct to 1 decimal place.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct arc-length expressions selected” …