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°?
To find the arc length of a slice of pizza with a central angle of 50°, we first need to calculate the circumference of the entire pizza.
Circumference = 2 * π * radius
Circumference = 2 * π * 6 inches
Circumference = 12π inches
Next, we calculate what fraction of the entire circumference the central angle of 50° represents.
Fraction = 50°/360° = 5/36
Finally, we find the arc length of the slice using the formula:
Arc length = Fraction * Circumference
Arc length = (5/36) * 12π inches
Arc length ≈ 5.236 inches
Therefore, the length of the crust (arc length) of a slice of pizza with a central angle of 50° is approximately 5.236 inches.