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? 28 ft 28 ft area of one half circle = 1/2 π 14² = square ft

Explanation:

Step1: Recall the area formula for a full - circle

The area formula for a full - circle is $A = \pi r^{2}$, where $r$ is the radius of the circle. For a half - circle, the area formula is $A_{half - circle}=\frac{1}{2}\pi r^{2}$.

Step2: Identify the radius

Given that the diameter of the half - circle is equal to the side of the square, which is 28 ft. The radius $r=\frac{d}{2}$, and since $d = 28$ ft, then $r = 14$ ft.

Step3: Calculate the area of the half - circle

Substitute $r = 14$ into the half - circle area formula $A_{half - circle}=\frac{1}{2}\pi r^{2}=\frac{1}{2}\pi\times14^{2}=\frac{1}{2}\pi\times196 = 98\pi\approx98\times3.14=307.72$ square ft.

Answer:

$307.72$ square ft