Question

What is the difference in distance two runners would have to run if the outside diameter of the track is 220 feet and the inside diameter is 200 feet?

Answer 1

To find the difference in distance that two runners would have to run on a track with an outer diameter of 220 feet and an inner diameter of 200 feet, we first need to calculate the circumferences of both tracks.

The formula for the circumference \( C \) of a circle is given by:

\[
C = \pi \times d
\]

where \( d \) is the diameter.

### Step 1: Calculate the circumference of the outer track
For the outer track with a diameter of 220 feet:

\[
C_{\text{outer}} = \pi \times 220 \approx 3.14 \times 220 \approx 690.8 \text{ feet}
\]

### Step 2: Calculate the circumference of the inner track
For the inner track with a diameter of 200 feet:

\[
C_{\text{inner}} = \pi \times 200 \approx 3.14 \times 200 \approx 628.0 \text{ feet}
\]

### Step 3: Find the difference in distance
Now, we subtract the circumference of the inner track from the circumference of the outer track:

\[
\text{Difference} = C_{\text{outer}} - C_{\text{inner}} \approx 690.8 - 628.0 = 62.8 \text{ feet}
\]

Therefore, **the difference in distance that the two runners would have to run is approximately 62.8 feet.**