1MA0 Higher June 2016 Paper 2 Q22
22
Diagram NOT accurately drawn
\(OAB\) is a sector of a circle, centre \(O\).
\(OCD\) is a sector of a circle, centre \(O\).
\(OCA\) and \(ODB\) are straight lines.
Angle \(AOB = 75^\circ\)
\(OD = 6\) cm
\(DB = 4\) cm
Calculate the perimeter of the shaded region.
Give your answer correct to 3 significant figures. (3)
| Answer | Mark | Notes |
|---|---|---|
| 28.9 | 3 | M2 for \(\dfrac{75}{360} \times 2 \times \pi \times 6\) oe \(+\ \dfrac{75}{360} \times 2 \times \pi \times 10\) oe (= 7.85... + 13.08... = 20.94..) (M1 for \(\dfrac{75}{360} \times 2 \times \pi \times 6\) oe or \(\dfrac{75}{360} \times 2 \times \pi \times 10\) oe) A1 for 28.9 to 28.95 |