October 2020 Paper 2 Q2
2 Fig. 2 shows a sector of a circle of radius 8 cm.
The angle of the sector is 2.1 radians.
(a) Calculate the length of the arc \(L\). [1]
(b) Calculate the area of the sector. [2]
| Scheme | Marks | AO |
|---|---|---|
| 16.8 or 17 cao | B1 | 1.1 |
| [1] |
Notes
B1: ignore units
| Scheme | Marks | AO |
|---|---|---|
| \(\frac{1}{2} \times 8^2 \times 2.1\) | M1 | 1.1a |
| 67.2 or 67 cao | A1 | 1.1 |
| [2] |
Notes
M1: or \(\dfrac{\theta^\circ}{360} \times \pi \times 8^2\)
\(\theta\) = 120 – 120.3211…
A1: ignore units