Circle sector perimeter calculator

Perimeter is the distance around a two-dimensional shape.

Sector — in geometry is a part of a circle bounded by an arc and two radii connecting the ends of the curve with the center of the circle.

A circle sector is a portion of a circle enclosed by two radii and an arc. The perimeter of a circle sector is the length of the two radii plus the length of the arc. The formula for finding the perimeter of a circle sector is:

P = \pi *R* \dfrac{\alpha^o}{180^o}

Or

P = 2R + \alpha *R

Where P is the perimeter, R is the radius, and α⁰ is the central angle of the sector in degrees and α is the central angle of the sector in radians.

How to Use the Circle Sector Perimeter Calculator

Our circle sector perimeter calculator makes it easy to find the perimeter of your circle sector. To use the calculator:

1. Enter the radius of the circle in the first box.
2. Enter the central angle of the sector in degrees in the second box.
3. Our calculator will make calculations automatically.

Here's an example:

Example: Suppose, we have a circle sector with radius R = 5 and central angle α = 1.5 radians. So the perimeter P will be: P = 5 + 5 + (1.5 x 5) = 17.5

Circle Sector Perimeter Examples

Here are some examples of finding the perimeter of a circle sector using the formula:

Example 1
Find the perimeter of a circle sector with radius 6 and central angle 70 degrees.

P = 6x \pi x \dfrac{70^o}{180^o} = 7.33

Example 2
Find the perimeter of a circle sector with radius 10 and central angle 0.8 radians.

P = 2x10 + 0.8 x 10 = 28

Conclusion

Calculating the perimeter of a circle sector is an important skill in geometry. Our circle sector perimeter calculator and formula make it easy to find the perimeter of your circle sector. Try it out for yourself and see how easy it can be!