| Date | May 2008 | Marks available | 2 | Reference code | 08M.2.sl.TZ1.3 |
| Level | SL only | Paper | 2 | Time zone | TZ1 |
| Command term | Find | Question number | 3 | Adapted from | N/A |
Question
The diagram below shows a circle centre O, with radius r. The length of arc ABC is \(3\pi {\text{ cm}}\) and \({\rm{A}}\widehat {\rm{O}}{\rm{C}} = \frac{{2\pi }}{9}\).
Find the value of r.
Find the perimeter of sector OABC.
Find the area of sector OABC.
Markscheme
evidence of appropriate approach M1
e.g. \(3\pi = r\frac{{2\pi }}{9}\)
\(r = 13.5\) (cm) A1 N1
[2 marks]
adding two radii plus \(3\pi \) (M1)
\({\text{perimeter}} = 27 + 3\pi \) (cm) (\(= 36.4\)) A1 N2
[2 marks]
evidence of appropriate approach M1
e.g. \(\frac{1}{2} \times {13.5^2} \times \frac{{2\pi }}{9}\)
area \( = 20.25\pi \) (\({\text{cm}}^2\)) (\(= 63.6\)) A1 N1
[2 marks]
Examiners report
Few errors were made in this question. Those that were made were usually arithmetical in nature.
Few errors were made in this question. Those that were made were usually arithmetical in nature.
Few errors were made in this question. Those that were made were usually arithmetical in nature.
