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.
225 exam-style questions on WJEC A Level Maths 3.5 Trigonometry (A-level only), covering 3.5.1 Trigonometry (A-level only), 3.5.2 Trigonometry (A-level only), 3.5.3 Trigonometry (A-level only), 3.5.4 Trigonometry (A-level only), 3.5.5 Trigonometry (A-level only), 3.5.6 Trigonometry (A-level only), 3.5.7 Trigonometry (A-level only), and 3.5.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.