Sector Perimeter Calculator

What is a Sector ?

In geometry, a sector refers to a portion of a circle enclosed by two radii and the corresponding arc.

To calculate the perimeter of a sector, you need to consider both the length of the arc and the two radii. The formula for the perimeter (P) of a sector is given by:

P = Arc Length + 2r

where:

• P is the perimeter of the sector
• Arc Length is the length of the arc forming the sector,
• r is the radius of the circle

The formula accounts for the arc length, which is a fraction of the entire circumference of the circle, plus the lengths of the two radii.

To calculate the arc length, you can use the formula:

Arc Length = (θ°/360°) x 2πr

where:

• π (pi) is a mathematical constant approximately equal to 3.14159265359
• r is the radius of the circle
• θ is the angle of sector, formed by the two radii

Keep in mind that angles should be in degrees for this formula. If your angle is in radians, you need to convert it to degrees before using the formula.