Figure 1 below shows the shape ABCDABCDABCD. The sector ABC ABC\,ABC is a sector of a circle with centre A A\,A and radius 7 cm, and the angle BAC BAC\,BAC is 0.6 radians. The angle BAD BAD\,BAD is a right angle, AB=7AB = 7AB=7 cm and AD=5AD = 5AD=5 cm.
Find the length of the arc BCBCBC.
Calculate the area of the sector ABCABCABC.
Find the size of the angle CADCADCAD, in radians.
Find the total area of the shape ABCDABCDABCD, giving 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.