2.1: Shaded region between three tangent circles

0606/21/M/J/16 — Question 4 · 5 marks

2.1 diagram
The diagram shows 33 circles with centres AA, BB and CC, each of radius 5 cm5\text{ cm}. Each circle touches the other two circles. Angle BACBAC is θ\theta radians.
(i)
Write down the value of θ\theta.
[1]
(ii)
Find the area of the shaded region between the circles.
[4]