Higher June 2024 Paper 1 Q12
12 A sector has radius 12 cm and angle \(60^\circ\)
Not drawn accurately
Work out the length of the arc.
Give your answer in terms of \(\pi\) [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(2 \times 12 \times \pi\) or \(24\pi\) or \(\dfrac{60}{360}\) or division by 6 | M1 | oe accept [3.14, 3.142] or \(\dfrac{22}{7}\) for \(\pi\) accept use of 0.17 or better for \(\dfrac{1}{6}\) |
| \(\dfrac{60}{360} \times 2 \times 12 \times \pi\) | M1dep | oe eg \(\dfrac{24\pi}{6}\) |
| \(4\pi\) | A1 | condone \(\pi 4\) |
Additional guidance
| Answer \(24\pi\) from \(\pi \times 12^2 \times \dfrac{60}{360}\) scores M1 for \(\dfrac{60}{360}\) | M1M0A0 |