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=](https://us-static.z-dn.net/files/d4d/f4c46046ec4c5d6673224d6fdc1a7026.jpeg)
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