The diameter of a semicircle is 10 meters. What is the perimeter of the semicircle, in meters? Round your answer to the nearest tenth.
The perimeter of a semicircle can be found by adding the half of the circumference of the full circle (πd) to the diameter (d) of the semicircle.
Given that the diameter of the semicircle is 10 meters, the radius is half of that, which is 5 meters.
The circumference of the full circle is:
C = πd
C = π(10)
C = 10π
The perimeter of the semicircle is:
P = (1/2)(10π) + 10
P = 5π + 10
Now we can use the approximation of π as 3.14:
P ≈ 5(3.14) + 10
P ≈ 15.7 + 10
P ≈ 25.7
Therefore, the perimeter of the semicircle is approximately 25.7 meters.