Final answer:
The area of a semicircle with a radius of 12 in is approximately 230 in².
Step-by-step explanation:
The area of a semicircle can be found by dividing the area of a circle by 2. The formula for the area of a circle is A = πr², where A represents the area and r represents the radius. In this case, the radius is 12 in, so the area of the semicircle is:
A = (π(12 in)²)/2
= (π(144 in²))/2
= 72π in²
Using a calculator with an eight-digit output, the calculated value of the area is approximately 226.195 in². However, since the radius has only two significant figures, the answer should be limited to two significant figures, giving us A = 230 in².