Date | May 2021 | Marks available | 3 | Reference code | 21M.1.SL.TZ2.1 |
Level | Standard Level | Paper | Paper 1 (without calculator) | Time zone | Time zone 2 |
Command term | Hence and Find | Question number | 1 | Adapted from | N/A |
Question
The following diagram shows a circle with centre and radius .
Points and lie on the circumference of the circle, and .
The perimeter of the shaded region is .
Find the value of .
[3]
a.
Hence, find the exact area of the non-shaded region.
[3]
b.
Markscheme
minor arc has length (A1)
recognition that perimeter of shaded sector is (A1)
A1
[3 marks]
a.
EITHER
(M1)
Area of non-shaded region (A1)
OR
area of circle area of shaded sector (M1)
(A1)
THEN
area A1
[3 marks]
b.
Examiners report
[N/A]
a.
[N/A]
b.