An artist is designing a corporate logo. The design consists of a sector DOCDOCDOC of a circle with centre OOO and radius ODODOD. This is joined to a major sector AOBEAAOBEAAOBEA of a smaller circle, also with centre OOO and radius OAOAOA. The points AAA and BBB lie on the line segments ODODOD and OCOCOC respectively, such that OOO, AAA, DDD and OOO, BBB, CCC are collinear.
Given that:
Show that AO=7.5 cmAO = 7.5\text{ cm}AO=7.5 cm.
Calculate the perimeter of the logo, in cm, to 3 significant figures.
Calculate the total area of the logo, in cm2\text{cm}^2cm2, to the nearest whole number.
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.
