**Problem Statement:**Charles is walking around a fountain that has a circumference of 124 feet. What is the diameter of the fountain?**Multiple Choice Options:**- $ \bigcirc $ 7.8 ft- $ \bigcirc $ 15.5 ft- $ \bigcirc $ 19.7 ft- $ \bigcirc $ 39.5 ft### Explanation:To solve this problem, we need to use the formula for the circumference of a circle. The formula is:\[ C = \pi d \]where $ C $ is the circumference, $ d $ is the diameter, and $ \pi $ (pi) is approximately 3.14159.### Steps to Solve:1. Given the circumference ($ C $) is 124 feet, we can rearrange the formula to solve for the diameter ($ d $):\[ d = \frac{C}{\pi} \]2. Plugging in the given values:\[ d = \frac{124 \text{ ft}}{3.14159} \approx 39.5 \text{ ft} \]Therefore, the correct option is:- $ \bigcirc $ 39.5 ft

Circumference of the fountain is given as 124 feet, we have to find the diameter of the fountain.

Answered: Charles is walking around a fountain…

Math

Algebra

Charles is walking around a fountain that has a circumference of 124 feet. What is the diameter of the fountain?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Problem Statement:**

Charles is walking around a fountain that has a circumference of 124 feet. What is the diameter of the fountain?

**Multiple Choice Options:**

- $ \bigcirc $ 7.8 ft
- $ \bigcirc $ 15.5 ft
- $ \bigcirc $ 19.7 ft
- $ \bigcirc $ 39.5 ft

### Explanation:
To solve this problem, we need to use the formula for the circumference of a circle. The formula is:
\[ C = \pi d \]
where $ C $ is the circumference, $ d $ is the diameter, and $ \pi $ (pi) is approximately 3.14159.

### Steps to Solve:
1. Given the circumference ($ C $) is 124 feet, we can rearrange the formula to solve for the diameter ($ d $):
\[ d = \frac{C}{\pi} \]

2. Plugging in the given values:
\[ d = \frac{124 \text{ ft}}{3.14159} \approx 39.5 \text{ ft} \]

Therefore, the correct option is:
- $ \bigcirc $ 39.5 ft

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