Therefore, the total length of the track is 51.7 ft.
The track is known to be made up of square with a half circle on its left and also on it right hand sides.
Based on the question attached, The area of the square is 128 square feet.
To be able to find The length of the track, it will be:
Let side length of the square = x.
To find the Area of square , one need to take the square root on both sides. Using the table: 127.7 is closed to 128. So, it will be 11.3.
The Diameter of circle = Side of square
= 11.3.
Since the track has 2 sides to make 1 complete circle, the Length of the truck is said to be the sum of length of square and radii of two circles and as such:
Length of the diameter of the half circle = s = 8·√(2) ft.
The length of the perimeter of the half circle
= π·D/2
= π × 8·√(2)/2
= π × 4·√(2)
≈ 17.77 ft.
The length of the track:
= 3 × 8·√(2) ft + π × 4·√(2) ft.
= 4·√2×(π+6)
≈ 51.7 ft
So, The length of the track is therefore 51.7 ft
Learn more about length from
https://brainly.com/question/25768896?referrer=searchResults
#SPJ1
See full question below
Use your answers above to find the total length of the part of the track that is made up of sides of the square. The answer above is 6.3 cm
Injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and right sides. The area of the square is 128 square feet. What is the length of the track? Use the table to help you answer the questions.
Square 11.02 11.12 11.22 11.32 11.42 11.52
Value 121.0 123.2 125.4 127.7 130.0 132.3
