Answer:
The distance around the outside of the track is 4183.58m².
Step-by-step explanation:
The area of running track that goes around the field is 9.76m
To proof :
Formula -
(Area of rectangle = length × breadth)
(Area of running track = outside area - inside area)
First case (outside),
length = 73 +2× 9.76
= 92.52m
Breadth = 84.39 m
radius of outside semi circle,
= 46.26m
outside area = area of rectangle + 2 × area of the semi-circle
= 92.52 x 84.39 + 3.14 x 46.26 × 46 × 26
= 7807.76+6719.56
Second case,
radius of the semi-circle,
=36.5m
inside area = area of rectangle + 2x area of the semi-circle
=73x 84.39+ 3.14x 36.5×36.5
= 6160.47 +4183.27
= 10343.74m²
Now,
Area of running track = 14527.32 m²- 10343.74m²
= 4183.58m²
The distance around the outside of track is 4183.58m².
