The track below is formed by a straight section on each side and a semicircle at each end what is the approximate distance around the track

Answer 1

To calculate the approximate distance around a track that has a straight section on each side and a semicircle at each end, you can follow these steps:

1. Identify the Dimensions:

   • Let’s denote the length of the straight sections as \( L \).
   • Let’s denote the radius of the semicircles as \( R \).

2. Calculate the Lengths:

   • The total length of the two straight sections would be \( 2L \).
   • The circumference of a full circle with radius \( R \) is \( 2\pi R \). However, since you only have semicircles at each end, their combined length is \( \pi R \).

3. Combine the Lengths:

   • The total distance around the track can be expressed as: \[ \text{Total distance} = 2L + \pi R \]

If you are given specific values for \( L \) and \( R \), you can sub them in to get a numerical answer. If not, the formula \( 2L + \pi R \) gives you the approximate distance around the track.

Answer 2

Use 140 feet on the inside and 300 feet on the outside

Answer 3

To calculate the approximate distance around the track using the given dimensions of 140 feet for the inside and 300 feet for the outside, we can interpret these measurements as follows:

1. Inner Track Parameters:

   • The total length of the inner track is 140 feet, which consists of two straight lengths and the semicircles at each end.

2. Outer Track Parameters:

   • The total length of the outer track is 300 feet, which also consists of two straight lengths and the semicircles at each end.

For the Inner Track

For the inner track, the distance around it is given directly as 140 feet. Therefore:

\[ \text{Distance around the inner track} = 140 \text{ feet} \]

For the Outer Track

For the outer track, the distance around it is given directly as 300 feet. Therefore:

\[ \text{Distance around the outer track} = 300 \text{ feet} \]

Summary

The distances around the tracks are:

• Inner Track: 140 feet
• Outer Track: 300 feet

If your question pertains to the total distance around both tracks, you would just add them together:

\[ \text{Total Distance} = 140 \text{ feet} + 300 \text{ feet} = 440 \text{ feet} \]

So, the distances you provided indicate 140 feet for the inner track and 300 feet for the outer track, yielding a combined distance of 440 feet for both.

If you mean to calculate the distance of a single track, the inner track is 140 feet and the outer track is 300 feet, and there’s no further calculation needed for the total circumference of either track.