Answer:
Explanation:
To find the total area of the track, we need to calculate the area of each section and then add them together.
Area of a semi-circle with radius 31m:
A = (1/2)πr^2
A = (1/2)π(31m)^2
A = 4795.4m^2
Area of a rectangle with length 92.7m and width 31m (the straight parts):
A = lw
A = (92.7m)(31m)
A = 2873.7m^2
To find the total area, we need to add the areas of the two semi-circular ends and the two straight sections:
Total area = 2(Area of semi-circle) + 2(Area of rectangle)
Total area = 2(4795.4m^2) + 2(2873.7m^2)
Total area = 19181.6m^2
Rounding this to 1 decimal place, we get:
Total area ≈ 19181.6 m^2
Therefore, the total area of the track is approximately 19181.6 square meters.