Higher November 2018 Paper 5 Q12
12 AOB is a sector of a circle, centre O and radius 6 cm.
The length of arc AB is \(5\pi\) cm.
Not to scale
Find the area of the sector.
Give your answer in terms of \(\pi\). [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(15\pi\) | 5 | B3 for [angle at centre] = 150 or sector is \(\dfrac{5}{12}\) oe of circle or M2 for \(\dfrac{[360 \times]\,5\pi}{2 \times \pi \times 6}\) or better or M1 for \(\left[\dfrac{\theta}{360} \times\right] 2 \times \pi \times 6\) oe M1 for \(\dfrac{\textit{their } \theta}{360} \times \pi \times 6^2\) oe | Final M1 is independent |