To find the area of a semicircle, you first need to find the area of a full circle and then divide it by 2.

Step 1: Find the radius of the circle. The diameter is 8 miles, so the radius (r) is half of the diameter, which is 4 miles.

Step 2: Find the area of the full circle. The formula for the area of a circle is 𝜋r². Substituting the given values, we get:

Area = 𝜋 * (4 mi)² = 𝜋 * 16 mi² = 50.24 mi²

Step 3: Since we are looking for the area of a semicircle (half of a circle), we divide the area of the full circle by 2:

Area of semicircle = 50.24 mi² / 2 = 25.12 mi²

So, the area of the semicircle is approximately 25.12 square miles, rounded to the nearest hundredth.

Question

To find the area of a semicircle, you first need to find the area of a full circle and then divide it by 2.

Step 1: Find the radius of the circle. The diameter is 8 miles, so the radius (r) is half of the diameter, which is 4 miles.

Step 2: Find the area of the full circle. The formula for the area of a circle is 𝜋r². Substituting the given values, we get:

Area = 𝜋 * (4 mi)² = 𝜋 * 16 mi² = 50.24 mi²

Step 3: Since we are looking for the area of a semicircle (half of a circle), we divide the area of the full circle by 2:

Area of semicircle = 50.24 mi² / 2 = 25.12 mi²

So, the area of the semicircle is approximately 25.12 square miles, rounded to the nearest hundredth.

Knowee AI · Accepted Answer

To find the area of a semicircle, you first need to find the area of a full circle and then divide it by 2.

Step 1: Find the radius of the circle. The diameter is 8 miles, so the radius (r) is half of the diameter, which is 4 miles.

Step 2: Find the area of the full circle. The formula for the area of a circle is 𝜋r². Substituting the given values, we get:

Area = 𝜋 * (4 mi)² = 𝜋 * 16 mi² = 50.24 mi²

Step 3: Since we are looking for the area of a semicircle (half of a circle), we divide the area of the full circle by 2:

Area of semicircle = 50.24 mi² / 2 = 25.12 mi²

So, the area of the semicircle is approximately 25.12 square miles, rounded to the nearest hundredth.

The diameter of a semicircle is 8 miles. What is the semicircle's area?d=8 miUse 𝜋 ≈ 3.14 and round your answer to the nearest hundredth. square milesSubmit