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The diameter of a semicircle is 10 meters. What is the perimeter of the semicircle, in meters? Round your answer to the nearest tenth.
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The perimeter of a semicircle can be found by adding the half of the circumference of the full circle (Ï€d) 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 = 10Ï€
The perimeter of the semicircle is:
P = (1/2)(10Ï€) + 10
P = 5Ï€ + 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.