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.
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Convert yards to inches:
- Since there are 36 inches in a yard, for 25 yards: \[ 25 \text{ yards} \times 36 \text{ inches/yard} = 900 \text{ inches} \]
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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.