Question

Find the area of a semicircle with a diameter of 24 inches. Round your answer to the nearest hundredth.

Answer 1

Answer:

18.84 in²

Step-by-step explanation:

The area of a circle is:

$A=\pi r^2$

Therefore the area of a semicircle (half a circle) would be:

$A=\frac{1}{2}\pi r^2$

First, let's start by finding the radius. Since the radius is half of the diameter then it is:

$\frac{1}{2}*24=\frac{24}{2}=12$

Now, let's plug this into the equation and solve for the area (I will use 3.14 for π as the question asks for a decimal approximation):

$A=\frac{1}{2}*12*3.14\\A=6*3.14\\A=18.84\ in^2$