Foundation June 2017 Paper 1 Q21
21 The diagram shows a semi-circle inside a rectangle of length 120 m.
The semi-circle touches the rectangle at A, B and C.
Not to scale
Calculate the perimeter of the shaded region.
Give your answer correct to 3 significant figures. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 214 | 5 | B4 for 214.2 or 214.24 to 214.26 OR B1 for 60 marked or used as width of rectangle or distance from B to the corner AND M2 for \(\dfrac{1}{4} \times \pi \times 120\) soi by \(30\pi\), 94.2 or 94.24 to 94.26 or M1 for \(\pi \times 120\) soi by 376.8 to 377.1 or \(\dfrac{1}{2}\pi \times 120\) soi by 188.4 to 188.6 AND M1 for \(2 \times\) their 60 + their \(30\pi\) AND B1 for their final answer written to more than 3 figs correctly rounded to 3 s.f. to a max. of 4 marks | Accept \(120 + 30\pi\) for B4 Allow e.g. \(r = 60\) for B1 |