The dog’s leash is 60 inches long. If the dog walks back and forth with its leash pulled tight while the leash is tied to the li
ght post, it will walk in part of a circle. If the dog’s leash rotates through 150° , how far does the dog walk ?
Arc Length=_______________
1 answer:
Answer:
150.08 inches
Step-by-step explanation:
The question simply requires that we find the length of the arc that the dog walks.
Its leash rotates through 150° and the length of the leash (radius) is 60 inches.
The length of an arc is given as:
L = α/360 * 2πR
where α = angle of arc
R =radius
Therefore:
L = 150/360 * 2 * π * 60
L = 150.08 inches
The dog walks 150.08 inches
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