Apps. and Interpretation for IBDP Maths Ebook 1 | Page 168

Your Practice Set – Applications and Interpretation for IBDP Mathematics
45
Paper 1 – Areas and Perimeters of Segments
Example
The following diagram shows a circle with centre O and radius 35 cm.
The points A , B and C are on the circumference of the circle, and
AOB ˆ � 40 .
(a) Find the area of the sector OACB .
(b) Find the area of the triangle OAB.
(c) Hence, find the area of the shaded segment ABC .
[2]
[2]
[2]
Solution
(a)
(b)
The required area
2 40
��
(35) �
360
(A1) for substitution
� 427.6056667
2
� 428 cm
A1 N2
The required area
1
� (35)(35)sin 40
(A1) for substitution
2
� 393.7074109
2
� 394 cm
A1 N2
[2]
[2]
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