Question
What’s the scale dimensions of a circle that’s 25 yards in diameter based on a scale that 1 inch equals 8 yards
Answers
GPT-4o mini
To find the scale dimensions of a circle that is 25 yards in diameter based on a scale of 1 inch equals 8 yards, we first need to convert the diameter from yards to inches.
1. **Convert yards to inches:**
- Since there are 36 inches in a yard, for 25 yards:
\[
25 \text{ yards} \times 36 \text{ inches/yard} = 900 \text{ inches}
\]
2. **Now we will use the scale of 1 inch equals 8 yards:**
- To find the scaled diameter in inches, divide the actual diameter in inches by the scale factor (8 yards per inch):
\[
\text{Scaled diameter} = \frac{900 \text{ inches}}{8} = 112.5 \text{ inches}
\]
So, the diameter of the circle on this scale is **112.5 inches**.
1. **Convert yards to inches:**
- Since there are 36 inches in a yard, for 25 yards:
\[
25 \text{ yards} \times 36 \text{ inches/yard} = 900 \text{ inches}
\]
2. **Now we will use the scale of 1 inch equals 8 yards:**
- To find the scaled diameter in inches, divide the actual diameter in inches by the scale factor (8 yards per inch):
\[
\text{Scaled diameter} = \frac{900 \text{ inches}}{8} = 112.5 \text{ inches}
\]
So, the diameter of the circle on this scale is **112.5 inches**.