Figure 1 below shows the sector ABC ABC\,ABC of a circle with centre A A\,A and radius 5 m. The angle BAC BAC\,BAC is 0.5 radians. The point M M\,M is the midpoint of ACACAC, and the shaded region is bounded by the arc BCBCBC, the line segment BM BM\,BM and the line segment MCMCMC.
Find the length of the arc BCBCBC.
Calculate the area of the sector ABCABCABC.
Find the perimeter of the shaded region, giving your answer to three significant figures.
Find the area of the shaded region, 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.