Apps. and Interpretation for IBDP Maths Ebook 1 | Page 169

(c)
The required area
�427.6056667 � 393.7074109
(M1) for valid approach
� 33.89825577
2
� 33.9 cm
A1 N2
[2]
13
Exercise 45
1. The following diagram shows a circle with centre O and radius 125 cm.
The points A , B and C are on the circumference of the circle, and
AOB ˆ � 142 .
(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. The following diagram shows a circle with centre O and radius 1740 cm.
[2]
[2]
[2]
The points A , B and C are on the circumference of the circle, and
AOB ˆ � 80 .
(a)
Find the length of arc ACB.
(b) Find the length of AB .
[2]
[3]
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