Figure 1 below shows the sector AOB AOB\,AOB of a circle with radius 6 cm. The chord AB AB\,AB is 8 cm long. The shaded region is bounded by the chord AB AB\,AB and the arc ABABAB.
Find the angle AOB AOB\,AOB in radians, giving your answer to three decimal places.
Calculate the area of the sector AOBAOBAOB.
Calculate the shaded area.
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.