The diameter of a semicircle is 2 yards. What is the semicircle's perimeter?d=2 ydUse ​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 (r) is half the diameter (d), so r = d/2 = 2 yd/2 = 1 yd.

Step 2: Find the circumference of a full circle with this radius. The formula for the circumference (C) of a circle is C = 2πr. Substituting the value of r, we get C = 2π(1 yd) = 2π yd.

Step 3: Find the length of the half-circle. This is half the circumference of the full circle, so it's (1/2)C = (1/2)(2π yd) = π yd.

Step 4: Add the length of the half-circle and the diameter to get the perimeter of the semicircle. The diameter is 2 yd, so the perimeter is π yd + 2 yd.

Using the approximation π ≈ 3.14, the perimeter is approximately 3.14 yd + 2 yd = 5.14 yd.

So, the perimeter of the semicircle is approximately 5.14 yards, rounded to the nearest hundredth.