The length of the outer edge of any one slice of the pizza is 2.09 inches
What is Circle?
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.
What is Diameter?
A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
What is Sector of a circle ?
A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
Given,
Diameter of the pizza = 8 inches
Number of slices =12
We know that,
A circle has a total of 360 degrees all the way around the center
Then angle of each size of pizza = [tex]\frac{360}{12}=30[/tex] degrees
Length of the outer edge of any one slice of pizza = Length of the arc of the sector
Arc length = [tex]2\pi r(\frac{angle}{360})[/tex]=[tex]2\pi (4)(\frac{30}{360})[/tex]
Arc length = 2.09 inches
Hence, the length of the outer edge of any one slice of the pizza is 2.09 inches
Learn more about Circle, Diameter and Sector of a circle here
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