Question

The diameter of a semicircle is 12 yards. What is the semicircle's perimeter? Use 3.14 for pi

Answer 1

The perimeter of a semicircle consists of the curved part (half of the circumference) plus the diameter.

Given that the diameter of the semicircle is 12 yards, we can calculate the radius as half of the diameter:

Radius = Diameter / 2

Radius = 12 yards / 2

Radius = 6 yards

Now, let's calculate the curved part of the perimeter, which is half the circumference of the full circle:

Circumference of full circle = 2 * π * Radius

Circumference = 2 * 3.14 * 6 yards

Circumference ≈ 37.68 yards

The curved part of the semicircle's perimeter is half of the full circumference:

Curved perimeter = Circumference / 2

Curved perimeter ≈ 37.68 yards / 2

Curved perimeter ≈ 18.84 yards

Finally, we add the diameter to the curved perimeter to get the total semicircle's perimeter:

Total perimeter = Curved perimeter + Diameter

Total perimeter ≈ 18.84 yards + 12 yards

Total perimeter ≈ 30.84 yards

The semicircle's perimeter is approximately 30.84 yards.

Answer 2

Answer: 30.84 yards

Explanation:

We can use the given formula for a semicircle's perimeter. The radius is equal to half the diameter, so this semicircle has a radius of 6 yards.

Given formula:

πr + 2r

Substitute known values:

(3.14)(6 yards) + 2(6 yards)

Multiply:

(18.84 yards) + (12 yards)

Add:

30.84 yards