Foundation November 2020 Paper 2 Q23
23 AOB is a sector of a circle, centre O.
Not to scale
The area of the sector is 8 cm\(^2\).
Work out the exact value of the radius, \(r\) cm. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\sqrt{\dfrac{24}{\pi}}\) | 4 | M2 for [\(r^2 =\)] \(\dfrac{360 \times 8}{120 \times \pi}\) or better or M1 for \(\dfrac{120}{360} \times \pi r^2\) [= 8] oe or better A1 for [\(r^2 =\)] \(\dfrac{24}{\pi}\) | For method condone use of 3.1, 3.14, etc used for \(\pi\) M1 implied by \(\pi r^2 = 24\) Implied by 7.6… |