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

Answer:

The distance around the inside is 199.44 m.

Step-by-step 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

$r=\dfrac{D}{2}$

Put the value into the formula

$r=\dfrac{9.76}{2}$

$r=4.88\ m$

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

$D=2\pi\times4.88+2\times84.39$

$D=199.44\ m$

Hence, The distance around the inside is 199.44 m.