Final answer:
The length of the curved part of a semicircle with a radius of 5 feet would be 10π feet, accounting for both the top and bottom of the semicircle, making the correct answer (A) 10π feet.
Step-by-step explanation:
The length of the curved part of a semicircle is called the semicircular arc length, and it can be found using the formula for the circumference of a circle, but since we only have a semicircle, we take half of the circumference. The circumference C of a whole circle with radius r is given by C = 2πr. For a semicircle, the curved length would be πr, since it is half the circumference.
To find the length of the curved part of a semicircle with a radius of 5 feet, we use the formula:
πr = π×5 feet = 5π feet
Comparing this answer to the multiple-choice options provided reveals that the correct answer is:
(A) 10π feet, because we must account for both the top and the bottom of the semicircle, giving a total arc length of 5π feet + 5π feet.