Answer :
The distance all the way around the sidewalk (the circumference) is 300 pi. 45 degrees is 1/8 of 360 degrees, so the two paths cut 1/8 of the circumference. That's 37.5 pi = 117.81 ft. The nearest whole foot is 118 ft.
The nearest whole foot is 118 ft. Option D is correct.
What exactly is a circle?
It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
The total distance around the walkway is;300 π ft.
If the angle subtended is 45° then,
45 degrees is 1/8 of 360 degrees, The total circle is divided in the path as;
=45/360
=1/8
The total circumference is divided into the parts as follows;
[tex]\rm \frac{300}{8} =37.5 \pi \\\\ 37.5 \pi=37.5\times 3.14 \\\\ 37.5 \pi =118 \ feet[/tex]
The nearest entire foot is 118 ft.
Hence, option D is correct.
To learn more about the circle, refer to the link:
https://brainly.com/question/11833983.
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