Higher November 2023 Paper 3 Q12
12 The diagram shows a shaded sector \(POQ\) of a circle with centre \(O\) and radius 6.2 cm.
The area of the shaded sector is 82.6 cm2
Calculate the size of angle \(x\).
Give your answer correct to 3 significant figures. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| 246 | P1 | for start of process to find angle inside sector eg \(\dfrac{x}{360} \times \pi \times 6.2^2 = 82.6\) or \(\dfrac{82.6}{\pi \times 6.2^2} \times 360\) or for an answer in the range 113 to 114 |
| A1 | for answer in range 246 to 247 |
Additional guidance
The size of the angle in the unshaded sector is 114
If an answer is shown in the range in working and then incorrectly rounded award full marks.