| Exam Board | AQA |
| Module | Paper 3 (Paper 3) |
| Year | 2019 |
| Session | June |
| Topic | Radians, 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.