Question

what is the area of one half - circle? area of one half circle = 1/2π·12² square ft < 12π 72π 24π

Explanation:

Step1: Recall area formula for full - circle

The area formula for a full - circle is $A = \pi r^{2}$, where $r$ is the radius of the circle.

Step2: Determine radius of half - circle

From the image, the diameter of the half - circle is 24 ft, so the radius $r=\frac{24}{2}=12$ ft.

Step3: Calculate area of half - circle

The area of a half - circle is $A_{half}=\frac{1}{2}\pi r^{2}$. Substitute $r = 12$ into the formula: $A_{half}=\frac{1}{2}\pi\times(12)^{2}=\frac{1}{2}\pi\times144 = 72\pi$ square ft.

Answer:

$72\pi$ square ft