SOLUTION: A stadium has a a central rectangular area 125m long by 80m wide.there are two semi circular ends.A running track goes all the way round. a) What is the total inside length of the

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A stadium has a a central rectangular area 125m long by 80m wide.there are two semi circular ends.A running track goes all the way round. a) What is the total inside length of the      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 771864: A stadium has a a central rectangular area 125m long by 80m wide.there are two semi circular ends.A running track goes all the way round.
a) What is the total inside length of the curved ends of the track?
b) What is the total distance round the inside of the track?
c) what is the area inside of the track?
(Take PI=3.14, give answer to 1 decimal place).

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
1) Using formula for cicumference.
Circumference = Pi * diameter
Circumference = Pi * 80m
Circumference = 251.2m.
Total inside length of the curved ends.
2)Total distance round inside of track =
2(125) + 251.2m
= 250 + 251.2
= 501.2m
3) Area of circular ends =
Pi*r^2
= Pi*40^2
= 5024m^2
Area of central area (rectangle)
length * width
125m * 80m
= 10,000m^2
Total area inside track =
5,024m^2 + 10,000m^2
= 15,024m^2
Hope this helps.
:-)