Analysis and Approaches for IBDP Maths Ebook 1 | Page 126

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Exercise 42
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
(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 .
AOB ˆ � 2.48 radians .
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2. The following diagram shows a circle with centre O and radius 1740 cm.
The points A , B and C are on the circumference of the circle, and
(a) Find the length of arc ACB.
(b) Find AB .
(c) Hence, find the perimeter of the shaded segment ABC .
AOB ˆ � 1.4 radians .
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