Higher June 2025 Paper 1 Q11
11 \(OABC\) is a sector of a circle, centre \(O\)

Diagram NOT accurately drawn
angle \(AOC = 140^\circ\)
\(OA = OC = 16\) cm
Calculate the area of the sector.
Give your answer correct to 3 significant figures.
(2)
| Scheme | Marks |
|---|---|
| eg \(\pi \times 16^2 \times \dfrac{140}{360}\) oe eg \(256\pi \times \dfrac{7}{18}\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 313 | A1 |
| (2) | |
| (2 marks) |
Notes
M1: allow use of 3.14… or \(\dfrac{22}{7}\) for \(\pi\)
\(\dfrac{140}{360}\) may be seen as an equivalent fraction or decimal eg \(\dfrac{7}{18}\) or \(0.3\dot{8}\) 0.388(8…) or 0.389
A1: accept 311.8 – 313