Analysis and Approaches for IBDP Maths Ebook 1 | Page 135

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2. Consider a circle with centre O and radius 23 cm. Triangle ABC is drawn such that its
vertices are on the circumference of the circle. D is another point on the circumference.
AB � 43.2 cm , ABC ˆ � 0.873 radians and ACB ˆ � 1.22 radians.
(a) Find AC .
(b) Find BC .
(c) Hence or otherwise, find the area of segment BDC.
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3. The following diagram shows a circle with centre O and radius 11 cm.
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The points A , B and D lie on the circle. The point C is outside the circle, on OC .
Angle ACB � 0.37 radians and angle AOB � 0.7 radians.
(a) Find AC .
(b) Find OC .
(c) Find the area of region ADBC .
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