Solution of Past Paper of CAIE Math 9709/13 Oct/Nov 2019 Question # 4
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Course
CAIE AS & A Level Mathematics P1 (9709/1)
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CAIE AS & A Level Mathematics P1 (9709/1)
This document presents most carefully worked out and thoroughly explained complete Solution of Past Paper of Cambridge AS/A Level Mathematics (9709), Pure Mathematics 1.
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solution of past paper 9709 13 october november 19
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CIE/GCE/AS/Math/P1/19/Nov/13/Q#4
Question
The diagram shows a semicircle ACB with centre O and radius 𝑟. Arc OC is part of a
circle with centre A.
(i) Express angle CAO in radians in terms of 𝜋.
(ii) Find the area of the shaded region in terms of 𝑟, 𝜋 and √3, simplifying your
answer.
Solution
(i)
We are required to find the expression for angle CAO in terms of 𝜋.
Consider the diagram below.
It is evident that CAO makes an equilateral triangle.
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