Perimeter of Circular Sector Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Circular Sector = (Angle of Circular Sector+2)*Radius of Circular Sector
P = (Sector+2)*r
This formula uses 3 Variables
Variables Used
Perimeter of Circular Sector - (Measured in Meter) - Perimeter of Circular Sector is the total length of all the boundary edges of the Circular Sector.
Angle of Circular Sector - (Measured in Radian) - Angle of Circular Sector is the angle between the radial edges of a Circular Sector or the central angle in which a circle is cut to form the Circular Sector.
Radius of Circular Sector - (Measured in Meter) - Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.
STEP 1: Convert Input(s) to Base Unit
Angle of Circular Sector: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Radius of Circular Sector: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (∠Sector+2)*r --> (0.698131700797601+2)*5
Evaluating ... ...
P = 13.490658503988
STEP 3: Convert Result to Output's Unit
13.490658503988 Meter --> No Conversion Required
FINAL ANSWER
13.490658503988 13.49066 Meter <-- Perimeter of Circular Sector
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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3 Perimeter of Circular Sector Calculators

Perimeter of Circular Sector given Circumference of Circle
Go Perimeter of Circular Sector = (Circumference of Circle of Circular Sector*Angle of Circular Sector/(2*pi))+(2*Radius of Circular Sector)
Perimeter of Circular Sector given Arc Length
Go Perimeter of Circular Sector = Arc Length of Circular Sector+2*Radius of Circular Sector
Perimeter of Circular Sector
Go Perimeter of Circular Sector = (Angle of Circular Sector+2)*Radius of Circular Sector

Perimeter of Circular Sector Formula

Perimeter of Circular Sector = (Angle of Circular Sector+2)*Radius of Circular Sector
P = (Sector+2)*r

What is a Circular Sector?

Circular Sector is basically a portion of the area of a circle cut through two radii. Geometrically a Circular Sector is the region enclosed by a circular arc and corresponding radii at a particular central angle.

What is a Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

How to Calculate Perimeter of Circular Sector?

Perimeter of Circular Sector calculator uses Perimeter of Circular Sector = (Angle of Circular Sector+2)*Radius of Circular Sector to calculate the Perimeter of Circular Sector, Perimeter of Circular Sector is defined as the total length around the entire Circular Sector. Perimeter of Circular Sector is denoted by P symbol.

How to calculate Perimeter of Circular Sector using this online calculator? To use this online calculator for Perimeter of Circular Sector, enter Angle of Circular Sector (∠Sector) & Radius of Circular Sector (r) and hit the calculate button. Here is how the Perimeter of Circular Sector calculation can be explained with given input values -> 13.49066 = (0.698131700797601+2)*5.

FAQ

What is Perimeter of Circular Sector?
Perimeter of Circular Sector is defined as the total length around the entire Circular Sector and is represented as P = (∠Sector+2)*r or Perimeter of Circular Sector = (Angle of Circular Sector+2)*Radius of Circular Sector. Angle of Circular Sector is the angle between the radial edges of a Circular Sector or the central angle in which a circle is cut to form the Circular Sector & Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.
How to calculate Perimeter of Circular Sector?
Perimeter of Circular Sector is defined as the total length around the entire Circular Sector is calculated using Perimeter of Circular Sector = (Angle of Circular Sector+2)*Radius of Circular Sector. To calculate Perimeter of Circular Sector, you need Angle of Circular Sector (∠Sector) & Radius of Circular Sector (r). With our tool, you need to enter the respective value for Angle of Circular Sector & Radius of Circular Sector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Perimeter of Circular Sector?
In this formula, Perimeter of Circular Sector uses Angle of Circular Sector & Radius of Circular Sector. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Circular Sector = (Circumference of Circle of Circular Sector*Angle of Circular Sector/(2*pi))+(2*Radius of Circular Sector)
  • Perimeter of Circular Sector = Arc Length of Circular Sector+2*Radius of Circular Sector
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