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

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

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

$A_{t} = A_{r} + 2A_{c}$                

$A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2})$      

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!