Question

3. A running track has the shape of a rectangle capped with a semicircle on each end, as shown below. If

the track is 80 feet wide, and the rectangular portion of the track is 90 feet tall, estimate the length
around the outside of the track.

Answer 1

431.3 ft

Explanation:

Circumference=π(80ft)=251.3

90+90+251.3=431.3ft

p.s. I think we have the same teacher for Math 107 lol

Answer 2

Explanation:

We want to determine the perimeter of the track. Perimeter is the distance around the entire track.

The diameter of each semicircle is 80 feet.

Radius = diameter/2 = 80/2 = 40 feet

Since the semicircles are 2, the perimeter of the outside of both semi circles would be

Perimeter = 2 × π × r

Perimeter = 2 × 3.14 × 40 = 251.2 feet.

Therefore, the distance around the outside of the track would be

251.2 + 90 + 90 = 431.2 feet