Apps. and Interpretation for IBDP Maths Ebook 1 | Page 162

Your Practice Set – Applications and Interpretation for IBDP Mathematics
(c)
The required area
2 120
��
(3) � (A1) for substitution
360
2
� A1 N2
3�
cm
[2]
Exercise 43
1. The following diagram shows a triangle ABC and a sector BDC of a circle with centre
B . The points A , B and D are on the same straight line.
AB � 3 cm , ABC ˆ � 120
, area of triangle
ABC
27 3
4
2
� cm .
(a) Write down the size of the angle ˆ CBD .
(b) Find the length of BC .
(c)
Find the exact arc length of the sector BDC.
[1]
[3]
[2]
2. The following diagram shows a triangle ABC and a sector BDC of a circle with centre
B and radius 10 cm. The points A , B and D are on the same straight line.
AB � BC � 10 cm , AC � 10 3 cm , ABC ˆ is obtuse.
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