The perimeter of a sector is the distance around the edge of a pie-shaped portion of a circle. It is the sum of the length of the curved boundary and the two radii that form the straight sides of the sector.

Real-life examples of sectors can be found in pizza slices or pie pieces, where the perimeter of the sector is the distance around the crust of the slice, plus the two sides where the crust meets the center of the pie. Sectors are also used in engineering and physics to describe pie-shaped sections of a larger structure or system.

The formula for determining the perimeter of a sector is defined as:

\(P\) \(=\) \(\dfrac{\theta}{360^\circ}\) \(\cdot\) \(\pi\) \(\cdot\) \(2\) \(\cdot\) \(r\) \(+\) \(2\) \(\cdot\) \(r\) \(=\) \(\dfrac{\theta}{360^\circ}\) \(\cdot\) \(\pi\) \(\cdot\) \(d\) \(+\) \(d\)

\(P\): the perimeter of the sector

\(\theta\): The angle of the sector

\(r\): the radius of the sector

\(\pi\): A mathematical constant with an infinite decimal tail

The SI unit of perimeter is: \(meter\text{ }(m)\)

## Find \(P\)

Use this calculator to determine the perimeter of a sector when the length of its radius is given.

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The angle of the sector

\(\theta\)

\(degree\)

the radius of the sector

\(r\)

\(meter\)

\(\pi\) : A mathematical constant with an infinite decimal tail