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In a baseball field, the arc that divides the outfield from the infield has a radius of 95 feet measured from the pitching rubber. The degree
measure of the arc is about 145. What is the length of the arc to the nearest foot?
A
481 ft
B. 13,775 ft
C. 180 ft
D. 240 ft
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User Googlebot
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3.9k points

2 Answers

3 votes

Final answer:

The arc length of a circle's sector with a radius of 95 feet and an arc measure of 145 degrees is calculated to be approximately 240.4 feet. Rounded to the nearest foot, the length is 240 feet.

Step-by-step explanation:

The question deals with arc length—a concept in geometry—which is the distance covered along the circumference of a circle. Using the provided radius of 95 feet and the degree measure of the arc at 145 degrees, we can find the arc length using the formula:

L = (θ/360) × (2πr)

Substituting the given values into the formula gives us:

L = (145/360) × (2 × π × 95) ≈ 240.4 ft

Therefore, to the nearest foot, the arc length is 240 feet, which corresponds to option D.

User Anthony Nolan
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4.6k points
6 votes

Answer:

240

Step-by-step explanation:

User Armin Taghavizad
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4.2k points