The diameter of a semicircle is 32 miles. What is the semicircle's area?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth. square milesSubmit

Question

The diameter of a semicircle is 32 miles. What is the semicircle's area?

Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. square miles

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the area of a semicircle, we first need to find the radius. The radius is half of the diameter, so in this case, it would be 32 miles / 2 = 16 miles.

The formula for the area of a circle is πr². Since we're looking for the area of a semicircle, we'll use half of this formula, or 1/2πr².

Substituting the given values into the formula, we get:

Area = 1/2 * π * (16 miles)²

Area = 1/2 * 3.14 * 256 square miles

Area = 402.12 square miles

So, the area of the semicircle is approximately 402.12 square miles, rounded to the nearest hundredth.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.

The diameter of a semicircle is 32 miles. What is the semicircle's area?Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth. square milesSubmit

Question