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A pizza has a diameter of 14 inches each piece has a central angle of 30° what is the distance around the outside of the crust the arc length

A pizza has a diameter of 14 inches each piece has a central angle of 30 what is the distance around the outside of the crust the arc length class=

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danilobabaglio

Answer:

The distance is 2.33 π

Step-by-step explanation:

First we have to calculate the perimeter of the circle with the following formula:

r = 14in

c = π * 2r

Now we replace the value of r

c = π * 2 * 14

c = π * 28

c = 28π

Now we have to multiply it by 30/360 which is the fraction that represents the arc over the entire circumference

28π * 30/360 = 2 1/3 π = 2.33 π

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