Formulae/Concepts Needed:
> Pythagoras Theorem
> SOH - CAH - TOA
> The Sine Rule
> The Cosine Rule
> Arc Length
> Areas of Sectors
Here is the copy of the practice exercises on Circular Measures. They are all taken from the Cambridge AS Level Pure Mathematics 1 past papers. The file contains ten (10) items. It contains:
- perimeter and area of sector and triangle combined
- perimeter and area of shaded region involving sectors in a triangle
- perimeter and area of multiple circle sectors
- perimeter and area of overlapping circle sectors
- perimeter and area of shaded region involving circles and trapezium
You may download the complete set of questions HERE.
Your comments and suggestions are welcome here. Write them in the comment box below.
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1 (i)14.9 cm
ReplyDelete(ii) 46
(iii) A = 146
2 (i) 0.9273
(ii) 20.4
3 (i) (sqrt 3)(r)
(ii)(1/2)(r^2)(sqrt 3) - (1/6)(r^2)(pi)
4 (i) pi/4
(ii) 21.4
5 (i) r(1 + theta + sin theta + cos theta)
(ii) 55.2
6 (i) 17.7
(ii) 80
(iii) 36
7 (sqrt 3) - pi/2
8 (i) 6.70
(ii) 1.75
9 (i) 8
(ii) 0.9273
(iii) 5.90
10 16.20