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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 light 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=_______________

Respuesta :

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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