A gymnasium is 50m long and 30m broad. A running track 2. 5m wide runs all around it on the inside. Find the area of the track?

1 answer

Are the ends semi-circles ?
If so, then the curved part must come in 15 m on each end, leaving a straight length of only 20 m for the rectangle.

outer area = rectangle of 20by30 + 1whole circle of radius 15
= 600 + π(225)
= (225π + 600) m^2

inner area = 25by20 + π(12.5^2)
= 500 + 156.25π

track area = 100 + 68.75π