AQA Paper 3 2019 June — Question 5

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2019
SessionJune
TopicRadians, Arc Length and Sector Area

5 A circle has equation \(x ^ { 2 } + y ^ { 2 } - 6 x - 8 y = 264\)
\(A B\) is a chord of the circle. The angle at the centre of the circle, subtended by \(A B\), is 0.9 radians, as shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{c8a41c47-bbda-4e91-a7a2-d0bcf6a46f25-04_563_600_584_719} Find the area of the minor segment shaded on the diagram.
Give your answer to three significant figures.