Perimeter of Circular Sector given Arc Length Calculator

Calculate Perimeter of Circular Sector





Formula

The formula to calculate the Perimeter of Circular Sector (P) is:

\[ P = l_{\text{Arc}} + 2r \]

Where:

Definition

Perimeter of Circular Sector is the total length of all the boundary edges of the Circular Sector.

Arc Length of Circular Sector is the length of the curved boundary edge of the Circular Sector.

Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

How to calculate the Perimeter of Circular Sector

Let's assume the following values:

Using the formula:

\[ P = l_{\text{Arc}} + 2r \]

Evaluating:

\[ P = 4 + 2 \cdot 5 \]

The Perimeter of Circular Sector is 14.

Perimeter of Circular Sector Conversion Chart

Arc Length of Circular Sector Radius of Circular Sector Perimeter of Circular Sector
3 5 13.00
4 5 14.00
5 5 15.00