He running track in the shape of an oval is showing the ends of the track form semicircles 56 m 130 m. What is the perimeter of the inside of the track
To find the perimeter of the inside of the track, we need to find the total length of the oval.
The straight sides of the track are 56m and 130m, so the total length of the straight sides is:
56m + 130m = 186m
The ends of the track form semicircles with radii of 56m and 130m. The circumference of a full circle is found using the formula C = 2πr, so the circumference of the semicircles is:
1/2 * 2π*56 + 1/2 * 2π*130 = 176π + 260π = 436π
Now, adding the circumference of the semicircles to the total length of the straight sides gives us the total length of the oval track:
186m + 436π ≈ 186m + 1370.3m ≈ 1556.3m
Therefore, the perimeter of the inside of the track is approximately 1556.3 meters.