Question

the figure below is made of a square and half - circles. find the total area of the figure. what is the area of one half circle? 24 ft 24 ft area of one half circle=$\frac{1}{2}\pi\cdot12^{2}$ = square ft 12\pi 24\pi 72\pi

Explanation:

Step1: Calculate the area of one - half circle

The formula for the area of a full - circle is $A = \pi r^{2}$, and for a half - circle it is $A_{half}=\frac{1}{2}\pi r^{2}$. Given that the diameter of the half - circle is equal to the side of the square, which is 24 ft, so the radius $r = \frac{24}{2}=12$ ft.
Substitute $r = 12$ into the half - circle area formula: $A_{half}=\frac{1}{2}\pi\times12^{2}$.
$A_{half}=\frac{1}{2}\pi\times144 = 72\pi$ square ft.

Answer:

$72\pi$ square ft