https://file.aiquickdraw.com/mathbot/file/1727972714839ukgpo9jd.jpg

The image shows an oval track with two straight sections and two semicircles at each end. The dimensions provided are:

- Length of the straight section = 300 feet
- Diameter of each semicircle = 140 feet

To calculate the approximate distance around the track, we need to find the total perimeter. The perimeter consists of:

1. **Two straight sections**: Each straight section is 300 feet long, so the total length of the straight sections is:
   \[
   2 \times 300 = 600 \text{ feet}
   \]

2. **Two semicircles**: The diameter of each semicircle is 140 feet, so the radius is:
   \[
   \text{Radius} = \frac{140}{2} = 70 \text{ feet}
   \]
   The circumference of a full circle is \(2\pi r\), but since we have two semicircles (which together form a full circle), the total length of the two semicircles is:
   \[
   2 \times \frac{1}{2} \times 2\pi \times 70 = 2\pi \times 70 = 140\pi \text{ feet}
   \]
   Approximating \(\pi\) as 3.1416, the length of the two semicircles is:
   \[
   140\pi \approx 140 \times 3.1416 = 439.6 \text{ feet}
   \]

3. **Total distance around the track**: Adding the lengths of the straight sections and the semicircles, we get:
   \[
   600 + 439.6 = 1039.6 \text{ feet}
   \]

So, the approximate distance around the track is **1039.6 feet**, or about **1040 feet**.

Would you like further details on this calculation or clarification? 

Here are 5 related questions to expand on this:
1. How would the perimeter change if the straight sections were longer?
2. What is the area enclosed by the oval track?
3. How would you calculate the perimeter if the track was elliptical instead of semicircular at the ends?
4. Can you calculate the distance around the track for multiple laps, such as 3 or 5 laps?
5. How would the distance change if the semicircles had a different radius?

**Tip**: For shapes involving circular sections, always consider whether you're dealing with a full circle or just a portion of it, and adjust your formula accordingly.

The oval 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?

Learn how to calculate the perimeter of an oval track formed by straight sections and semicircles. This problem involves geometry concepts, such as circumference of circles and composite shapes. Suitable for students in Grades 6-8.

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