Area of a Shape

Question

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section? Express answer to the nearest square foot.

Answer 1

Hint: The area of a circle is $A= \pi r^2$, then what is the area of a semi-circle? What if you divide that in three parts?

Edit: If it is asking without more context, I suspect it wants area in terms of $r$?

Answer 2

Area of a circle is $\pi r^2$, since we are talking about a semicircle, this is just $$\frac {\pi r^2}{2}$$

Since this semicircle is further divided into 3 sections, divide the area of the semicircle into 3, thus

$$\frac {\pi r^2}{6}$$

Answer 3

The question could have been more interesting if the width of each shutter in the semicircular arch was to be determined. The areas of the three shutters are assumed to be equal. and the shutters have perfectly vertical frames of negligible thickness.