Figure 1 below shows a circle with centre C C\,C and equation
x2+y2−6x+10y=222x^2 + y^2 - 6x + 10y = 222x2+y2−6x+10y=222
The units on both coordinate axes are centimetres.
AB AB\,AB is a chord of the circle and the angle ACB ACB\,ACB is 0.8 radians.
Find the area of the minor segment shaded on the diagram. Give your answer to three significant figures.
317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.