A window is a rectangle 2 $m$ wide and 3 $m$ high with a semicircle of diameter 2 $m$ resting on its top edge. Find the total area of glass in $m^2$. Take π = 3.14.

Rectangle = $2\times 3=6{\text{m}}^2$. The semicircle has radius 1 m, so its area = ½ $\times 3.14\times 1^2=1.57{\text{m}}^2$. Total $=6+1.57=7.57{\text{m}}^2$. (Using a whole circle instead of a half gives $9.14{\text{m}}^2$; taking the 2 m as the radius rather than the diameter gives $12.28{\text{m}}^2$; $6{\text{m}}^2$ leaves the arched top out.)