Higher November 2021 Paper 3 Q7
7 The diagram shows a sector \(OPQR\) of a circle, centre \(O\) and radius 8 cm.
\(OPR\) is a triangle.
Work out the area of the shaded segment \(PQR\).
Give your answer correct to 3 significant figures. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 18.3 | P1 | for finding the area of the triangle eg \(0.5 \times 8 \times 8\ (= 32)\) |
| P1 | for finding the area of the circle \(\pi \times 8 \times 8\ (= 201.06..)\) | |
| P1 | for finding the area of the sector eg \(\dfrac{1}{4} \times \pi \times 8^2\) or \(\text{``}201.06..\text{''} \div 4\ (= 50.26...)\) | |
| A1 | for an answer in the range 18.2 to 18.3 |
Additional guidance
Accept rounded or truncated figures
If the answer is given within the range but then rounded incorrectly award full marks.