In the diagram, $$$\operatorname{arc} A B$$$ is part of a circle with centre $$$O$$$ and radius $$$8 \mathrm{~cm}$$$. Arc $$$B C$$$ is part of a circle with centre $$$A$$$ and radius $$$12 \mathrm{~cm}$$$, where $$$A O C$$$ is a straight line. Find angle $$$B A O$$$ in radians. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w20_qp_13 Year：2020 Question No：9(a)

Answer:

$\cos B A O=\frac{6}{8}$ or $\frac{8^{2}+12^{2}-8^{2}}{2 \times 8 \times 12}$
$B A O=0.723$

Knowledge points:

1.4.2 use the formulae in solving problems concerning the arc length and sector area of a circle (Including calculation of lengths and angles in triangles and areas of triangles.)

Answer:

Knowledge points:

Solution:

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