1.11: Crescent between an arc and a semicircle


The diagram shows an isosceles triangle , where . The arc is part of the circle centre and has length . The point is the midpoint of the line . The arc is a semi-circle centre .
(i)[1]
Show that angle is radians.
(ii)[3]
Find the perimeter of the shaded region.
(iii)[4]
Find the area of the shaded region.
