Question 15
The diagram below shows a head of a cartoon character which is represented by a big circle, with its eyes being two circles of radii 1 cm. The two smaller circles are touching at the centre of the big circle and they are also tangent to the big circle. The shaded region represents its hat, for which the horizontal line is tangent to the smaller circles, as shown in the diagram below.

What is the area, in $\text{cm}^2$, of the shaded region?

What is the area, in $\text{cm}^2$, of the shaded region?