A mechanical component for a precision pendulum clock is designed using a triangular metal plate OAB OAB\,OAB attached to a weighted circular sector OBC OBC\,OBC with centre OOO.
In this design:
Determine the size of angle OABOABOAB, giving your answer in radians to 4 significant figures.
Calculate the area of the triangular plate OAB OAB\,OAB in cm2\text{cm}^2cm2, giving your answer to 3 significant figures.
Given that the ratio of the area of the weighted sector OBC OBC\,OBC to the area of the triangular plate OAB OAB\,OAB is 7:4 7:4\,7:4
Show that angle BOC BOC\,BOC is 0.224 radians to 3 significant figures.
Hence find the total perimeter of the component, in cm, to the nearest integer.
Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions 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, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
