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?

Part A:

The arc is circular, the distance the tip of the bat travels to the nearest inch:

Given details:

r= 48 in

∅=255°  

Formula :

Arc length formula = 2πr×∅/360°

Part B:

The feet that is rounded to the nearest foot are :

Changing inches to feet, you divide inch value by 12

The feet that is rounded to the nearest foot is 18 feet.

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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

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