This is the first year Janis is playing softball. She has been practicing her batting. On her last swing the bat made an arc with a radius of 48 inches and swept through 255° of rotation. Assuming the arc is circular, what is the distance the tip of the bat travels to the nearest inch? How many feet is this rounded to the nearest foot?

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Jovany

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19 September, 00:30

This is the first year Janis is playing softball. She has been practicing her batting. On her last swing the bat made an arc with a radius of 48 inches and swept through 255° of rotation. Assuming the arc is circular, what is the distance the tip of the bat travels to the nearest inch? How many feet is this rounded to the nearest foot?

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Answers (1)

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Rayna Swanson · Answer 1

a) 214 in

b) 18 feet

Explanation:

Arc length formula = 2πr*∅/360°

Given r = 48 in and ∅=255° then

Arc length = 2*3.14*48*255°/360° = 213.62 = 214 in

Changing inches to feet, you divide inch value by 12

214/12 = 17.80 = 18 feet