| Date | May 2017 | Marks available | 2 | Reference code | 17M.2.sl.TZ2.1 |
| Level | SL only | Paper | 2 | Time zone | TZ2 |
| Command term | Find | Question number | 1 | Adapted from | N/A |
Question
The following diagram shows a circle with centre O and radius 40 cm.
The points A, B and C are on the circumference of the circle and \({\rm{A\hat OC}} = 1.9{\text{ radians}}\).
Find the length of arc ABC.
[2]
a.
Find the perimeter of sector OABC.
[2]
b.
Find the area of sector OABC.
[2]
c.
Markscheme
correct substitution into arc length formula (A1)
eg\(\,\,\,\,\,\)\((40)(1.9)\)
\({\text{arc length}} = 76{\text{ (cm)}}\) A1 N2
[2 marks]
a.
valid approach (M1)
eg\(\,\,\,\,\,\)\({\text{arc}} + 2r,{\text{ }}76 + 40 + 40\)
\({\text{perimeter}} = 156{\text{ (cm)}}\) A1 N2
[2 marks]
b.
correct substitution into area formula (A1)
eg\(\,\,\,\,\,\)\(\frac{1}{2}(1.9){(40)^2}\)
\({\text{area}} = 1520{\text{ (c}}{{\text{m}}^{\text{2}}}{\text{)}}\) A1 N2
[2 marks]
c.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
