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The radius of a pizza is 6 inches . What is the length of the crust (arc length ) of a slice of pizza with a central angle of 50 degrees ? Show your calculations pleas help

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Answer: the length of the crust is 5.23 inches

Explanation:

The pizza is circular. The length of the crust (arc length) is a portion of the circumference of the circle (pizza). To determine the arc length, we would apply the the formula which 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,

Radius, r = 6 inches

θ = 50 degrees

Therefore,

Length of arc = 50/360 × 2 × 3.14 × 6 = 5.23 inches rounded to the nearest hundredth

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