Apps. and Interpretation for IBDP Maths Ebook 1 | Page 178

Your Practice Set – Applications and Interpretation for IBDP Mathematics
(a) Find the size of the angle ˆ ACB.
(b) (i) Find the size of the angle ˆ BAC .
(ii) Find the length of BC .
(c) (i) Find the size of the reflex angle BÔC .
(ii) Hence or otherwise, find the area of sector OBAC .
[3]
[5]
[6]
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 � 50 and ACB ˆ � 70
(a) Find the length of AC .
(b) Find the length of BC .
(c) (i) Find the size of the angle BÔC .
[3]
[5]
(ii) Find the area of the sector OBDC .
(iii)
Hence or otherwise, find the area of segment BDC.
[8]
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