Question
4. What is the length, in feet, of the circumference of a circle whose diameter is 12 feet? A. (O) \( 6 \pi \)
Ask by Frazier Dickson. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The circumference is \(12\pi\) feet.
Solution
To find the circumference of a circle when you know the diameter, you can use the formula:
\[
\text{Circumference} (C) = \pi \times \text{Diameter} (d)
\]
Given:
- **Diameter (d) = 12 feet**
Plugging the values into the formula:
\[
C = \pi \times 12 = 12\pi \text{ feet}
\]
So, the length of the circumference is **\(12\pi\) feet**.
**Note:**
Option A provided as \(6\pi\) feet is **incorrect**. The correct answer is \(12\pi\) feet.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To find the circumference of a circle, the formula is \( C = \pi \times d \), where \( d \) is the diameter. With a diameter of 12 feet, plugging in the values gives you \( C = \pi \times 12 \), which simplifies to \( 12\pi \) feet. Isn't it fascinating how circles just keep popping up in our daily lives, like in the design of bike wheels or pizza? When calculating circumference, be careful not to forget the relationship between diameter and radius! The radius is half the diameter, so if you mistakenly used the radius in the formula instead of the diameter, you'd end up with a different (and incorrect) value. Double-check those numbers before you finalize your answer!
