A designer is drafting a logo for a renewable energy company. The design features a central polished circular sector OBCOBCOBC, with centre OOO, flanked by two identical triangular 'rays', OABOABOAB and ODCODCODC. The points A,O,A, O,A,O, and DDD lie on a straight horizontal line. The vertices BBB and CCC lie on the circular arc that forms the boundary of the sector.
Given that:
Determine the radius of the circular sector, giving your answer in cm\text{cm}cm to 2 decimal places.
Calculate the size of angle AOBAOBAOB in radians, giving your answer to 2 decimal places.
Hence find: the total area of the logo, giving your answer in cm2\text{cm}^2cm2 to one decimal place.
the total perimeter of the logo, giving your answer in cm\text{cm}cm to one decimal place.
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.
