3.19: Intersecting diameters: triangle and opposite sector

0606/11/O/N/21 — Question 8 · 7 marks

3.19 diagram
The diagram shows a circle, centre OO, radius 5 cm5\text{ cm}. The lines AOBAOB and CODCOD are diameters of this circle. The line ACAC has length 6 cm6\text{ cm}.
(a)
Show that angle AOC=1.287AOC = 1.287 radians, correct to 33 decimal places.
[2]
(b)
Find the perimeter of the shaded region.
[2]
(c)
Find the area of the shaded region.
[3]