Question

The field inside a running track is made up of a rectangle 84.39 m long and 73 m wide, together with a half circle at each end. The running lanes are 9.76 m wide all the way around. What is the area of the running track that goes around the field? Explain or show your reasoning.

Answer 1

Area of the strip = 2455.03 sq. meters

Explanation:

We can split the total area as the sum of a rectangle and a circle.

The field inside a running track is made up of a rectangle 84.39 m long and 73 m wide, together with a half circle at each end. The running lanes are 9.76 m wide all the way around.

Total area = Area of rectangular strip + Area of circular strip

Area of rectangle =2( length
`*` width )

=2 (84.39
`*` 9.76)

= 1647.3 sq meters.

Area of circle =
`\pi (r_(1) ^(2)-x_(2) ^(2))`

=
`\pi (46.26^(2-)36.5^(2))`

= 807.73 sq. meters

Hence the area of the strip = 807.73 + 1647.3 = 2455.03 sq meters