The diameter of a semicircle is 15.2 centimeters. What is the semicircle's perimeter?Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

To find the perimeter of a semicircle, you need to add the length of the half-circle (which is half the circumference of a full circle) and the diameter.

Step 1: Find the radius of the semicircle. The radius is half the diameter, so the radius is 15.2 cm / 2 = 7.6 cm.

Step 2: Find the circumference of a full circle with this radius. The formula for the circumference of a circle is 2πr, so the circumference is 2 * 3.14 * 7.6 cm = 47.68 cm.

Step 3: Since a semicircle is half of a full circle, the length of the half-circle part of the semicircle is half the full circumference, which is 47.68 cm / 2 = 23.84 cm.

Step 4: Add the diameter to the length of the half-circle to find the perimeter of the semicircle. The diameter is 15.2 cm, so the perimeter is 23.84 cm + 15.2 cm = 39.04 cm.

So, the perimeter of the semicircle is approximately 39.04 cm, rounded to the nearest hundredth.