The radius of a semicircle is 1 yard. What is the semicircle's perimeter?
To find the perimeter of a semicircle, we will need to add the length of the curved part (half of the circumference of the full circle) and the length of the diameter.
The circumference of a circle is given by the formula C = 2πr. Since the semicircle is half of a circle, the length of the curved part is half of the circumference of the full circle, which is (1/2) * 2πr.
Since the radius is 1 yard, we have:
Curved part = (1/2) * 2π(1) = π yards.
Now we need to find the length of the diameter. The diameter is simply twice the radius, so:
Diameter = 2 * 1 = 2 yards.
Finally, we add the curved part and the diameter to get the perimeter:
Perimeter = Curved part + Diameter = π + 2 ≈ 5.14 yards.