QUESTION IMAGE
Question
- baseball you run around the perimeter of the baseball field at a rate of 9 feet per second. how long does it take you to run around the baseball field?
Step1: Calculate curved path length
The curved part is $\frac{1}{4}$ of a circle with radius $275$ ft. The circumference of a full circle is $C=2\pi r$, so the curved length is:
$\frac{1}{4} \times 2\pi \times 275 = \frac{550\pi}{4} = 137.5\pi \approx 431.97$ ft
Step2: Calculate total perimeter
Add the straight sides (300 ft and 275 ft) to the curved length:
$431.97 + 300 + 275 = 1006.97$ ft
Step3: Calculate time to run perimeter
Time is distance divided by speed (9 ft/s):
$t = \frac{1006.97}{9} \approx 111.89$ seconds
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Approximately 112 seconds (or $\frac{550\pi + 1150}{9} \approx 111.9$ seconds)