A running track in the shape of an oval is shown. The ends of the track form semicircles.
A running track is shown. The left and right edges of the track are identical curves. The top and bottom edges of the track are straight lines. The track has width 56 m and length of one straight edge 130 m.
What is the perimeter of the inside of the track?
260.00 m
347.92 m
372.00 m
435.84 m
To find the perimeter of the inside of the track, we need to calculate the total distance around the inside edge of the track.
Since the track is in the shape of an oval, the inside shape is essentially a rectangle with two semicircles attached on either end.
The length of the track (the straight edge) is 130m, which means the total length of the inside rectangle is 130m - 2(56m) = 130m - 112m = 18m.
The total distance around the inside edge of the track is equal to the perimeter of the rectangle (length + width + length) plus the circumference of the two semicircles (2 * π * radius).
So, the perimeter of the inside of the track is 18m + 56m + 18m + 2 * π * 28m = 92m + 36m + 56mπ = 92m + 112.56m = 204.56m.
Therefore, the closest option given is 260.00m.