If a circle has an arc with the measure of 60° and the length of the arc is 50 in, what is the
radius of the circle?

radius = 47.8 inches

Step-by-step explanation:

An arc is a portion of the circumference of the circle. The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

θ = 60 degrees

Length of arc = 50 inches

Therefore,

50 = 60/360 × 2 × 3.14 × r

Cross multiplying by 360, it becomes

18000 = 376.8r

r = 18000/376.8

r = 47.8 inches

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