1.12: Segment bounded by equal chords

0606/12/O/N/19 — Question 10 · 11 marks

1.12 diagram
The diagram shows a circle centre OO, radius 10 cm10\text{ cm}. The points AA, BB and CC lie on the circumference of the circle such that AB=BC=18 cmAB = BC = 18\text{ cm}.
(i)
Show that angle AOB=2.24AOB = 2.24 radians correct to 22 decimal places.
[3]
(ii)
Find the perimeter of the shaded region.
[5]
(iii)
Find the area of the shaded region.
[3]