Answer:
Area of the strip = 2455.03 sq. meters
Step-by-step 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 [tex]\times[/tex] width )
=2 (84.39 [tex]\times[/tex] 9.76)
= 1647.3 sq meters.
Area of circle = [tex]\pi (r_{1} ^{2}-x_{2} ^{2})[/tex]
= [tex]\pi (46.26^{2-}36.5^{2})[/tex]
= 807.73 sq. meters
Hence the area of the strip = 807.73 + 1647.3 = 2455.03 sq meters
