Question 8 — IGCSE 0580 Oct/Nov 2023 Paper 43
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Vectors · Vectors (basic). Worth 17 marks.
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Question text
8 (a)
NOT TO
SCALE
O
6 cm
135°
B
A
2 cm
C
D
The diagram shows a shape made from a major sector AOB and triangles OBC and AOD.
OB = 6cm, BC = 2cm, obtuse angle AOC = 135° and angle BCO = 90°.
(i) Show that angle BOC = 19.5°, correct to 1 decimal place.
[2]
(ii) Calculate the area of the major sector AOB.
......................................... cm2 [3]
© UCLES 2023 0580/43/O/N/23
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(iii) C is the midpoint of OD.
Calculate AD.
............................................ cm [5]
(iv) Calculate the total area of the shape.
......................................... cm2 [4]
(b) A sector of a circle has radius 8 cm and area 160cm2.
A mathematically similar sector has radius 20 cm.
Calculate the area of the larger sector.
......................................... cm2 [3]
© UCLES 2023 0580/43/O/N/23 [Turn over
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