Question

The field inside a running track is made up of a rectangle that is 84.39 m long and 73 m wide, together with a half-circle at each end. What is the distance around the inside of the track?

Answer 1

The distance around the inside is 199.44 m.

Explanation:

Given that,

Length = 84.39 m

Width = 9.76 m

Suppose, all the way around and 73 m wide.

We know that,

Perimeter of half circle is

`perimeter = \pi r`

We need to calculate the inner radius of the circle

Using formula of radius

`r=(D)/(2)`

Put the value into the formula

`r=(9.76)/(2)`

`r=4.88\ m`

We need to calculate the distance around the inside

Using formula of distance

Distance around the inside= two inner perimeter of the circle+two length of rectangle

`D=2\pi r+2l`

Put the value into the formula

`D=2\pi*4.88+2*84.39`

`D=199.44\ m`

Hence, The distance around the inside is 199.44 m.