Question

A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The parallel lines are 30 meters long and 7 meters apart. Fine the area inside the running track.

Answer 1

The area inside the running track is 248.5 m².

Explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

`A_(t) = A_(r) + 2A_(c)`

`A_(t) = x*(2r) + 2*((\pi r^(2))/(2))`

Where:

x: is one side of the rectangle = 30 m

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

`A_(t) = 30*7 + \pi (3.5)^(2) = 248.5 m^(2)`

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!