Question

A running track in the shape of an oval is shown. The ends of the track form semicircles. What is the perimeter of the inside of the track? (π = 3.14) (1 point)

Answer 1

The perimeter of the inside of the track is 435.84 m

Explanation:

Here, we note that from the diagram,

The (inside) length of the straight sides of the oval are each = 130 m

The (inside) diameter of the semicircles at ends of the oval = 56 m

Therefore, since there are two semicircles of equal diameter, the length on the inside of the semicircles = Circumference of a circle of similar diameter

length on the inside of both semicircles = π×D

Where:

D = Diameter of the semicircle

length on the inside of both semicircles = π×56 = 3.14×56 = 175.84 m

Also, the length of the two straight sides = 2 × 130 = 260 m

Total length of the inside of the track = 260 + 175.8 = ‭435.84‬ m

Therefore, the perimeter of the inside of the track = 435.84 m.