QUESTION IMAGE
Question
use the keyboard to enter your answer in the box. round your answer to the nearest whole number. the circumference is feet
Step1: Recall the formula for the circumference of a semi - circle
The circumference of a full circle is $C = 2\pi r$. For a semi - circle, the curved part length is $\frac{1}{2}(2\pi r)=\pi r$, and we also need to add the diameter (if the semi - circle is a closed shape, here we assume we want the perimeter of the semi - circular arc and the straight line across it). The diameter $d = 2r$. Given $r = 50$ ft.
The length of the curved part of the semi - circle is $l=\pi r$.
Step2: Calculate the length of the curved part
Substitute $r = 50$ into the formula for the length of the curved part. $l=\pi\times50\approx3.14\times50 = 157$ ft. The diameter $d = 2r=100$ ft. But if we just want the length of the semi - circular arc (not the full perimeter of the semi - circular region with the straight part), we only consider the curved part.
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