It takes ten identical pieces to form a circular track for a pair of toy racing cars If the inside of each piece is 3.4 inches shorter than the outside arc what is the width of the track?

Answer 1

Length of outer track = sum of length of 10 pieces = circumference of the outer circle

if R is the Radius of outer circle then...

Circumference of the outer track = 2pi*R

Similarly the circumference of the inner track (with radius r) = 2pi*r

length of each outer piece is 3.4 inch more than length of inner piece

So total outer length is 10*3.4 =34 inches more than the inner length.

=> Outer Circumference - Inner Circumference = 34 inches

=> 2pi*R - 2pi*r = 34

=> 2pi(R -r) = 34

=> R-r = 34/2pi = 5.41 inches

=> R-r = Width of the track = 5.41 inches

• 1 year ago