Perimeter of Circular Segment given Central Angle Calculator

✖Radius of Circular Segment is the radius of the circle from which the Circular Segment is cut.ⓘ Radius of Circular Segment [r]			+10% -10%
✖Central Angle of Circular Segment is the angle subtended by the arc of a Circular Segment with the center of the circle from which the Circular Segment is cut.ⓘ Central Angle of Circular Segment [∠_Central]			+10% -10%

✖Perimeter of Circular Segment is the total length of all the boundary edges of a Circular Segment.ⓘ Perimeter of Circular Segment given Central Angle [P]

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Perimeter of Circular Segment given Central Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Circular Segment = (Radius of Circular Segment*Central Angle of Circular Segment)+(2*Radius of Circular Segment*sin(Central Angle of Circular Segment/2))
P = (r*∠_Central)+(2*r*sin(∠_Central/2))
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Perimeter of Circular Segment - (Measured in Meter) - Perimeter of Circular Segment is the total length of all the boundary edges of a Circular Segment.
Radius of Circular Segment - (Measured in Meter) - Radius of Circular Segment is the radius of the circle from which the Circular Segment is cut.
Central Angle of Circular Segment - (Measured in Radian) - Central Angle of Circular Segment is the angle subtended by the arc of a Circular Segment with the center of the circle from which the Circular Segment is cut.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Segment: 5 Meter --> 5 Meter No Conversion Required
Central Angle of Circular Segment: 180 Degree --> 3.1415926535892 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (r*∠_Central)+(2*r*sin(∠_Central/2)) --> (5*3.1415926535892)+(2*5*sin(3.1415926535892/2))

Evaluating ... ...

P = 25.707963267946

STEP 3: Convert Result to Output's Unit

25.707963267946 Meter --> No Conversion Required

FINAL ANSWER

25.707963267946 ≈ 25.70796 Meter <-- Perimeter of Circular Segment

(Calculation completed in 00.004 seconds)

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< Perimeter of Circular Segment Calculators

Perimeter of Circular Segment given Central Angle

LaTeX Go Perimeter of Circular Segment = (Radius of Circular Segment*Central Angle of Circular Segment)+(2*Radius of Circular Segment*sin(Central Angle of Circular Segment/2))

Perimeter of Circular Segment

LaTeX Go Perimeter of Circular Segment = Arc Length of Circular Segment+Chord Length of Circular Segment

Perimeter of Circular Segment given Central Angle Formula

LaTeX Go

What is a Circular Segment?

Circular Segment is basically a portion of a circle cut by using a chord. Geometrically a Circular Segment is the region bounded by a circular arc at a particular central angle and the chord joining both the end points of that arc.

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 Segment given Central Angle?

Perimeter of Circular Segment given Central Angle calculator uses Perimeter of Circular Segment = (Radius of Circular Segment*Central Angle of Circular Segment)+(2*Radius of Circular Segment*sin(Central Angle of Circular Segment/2)) to calculate the Perimeter of Circular Segment, Perimeter of Circular Segment given Central Angle is defined as the total length around the edges of Circular Segment and calculated using the central angle of the Circular Segment. Perimeter of Circular Segment is denoted by P symbol.

How to calculate Perimeter of Circular Segment given Central Angle using this online calculator? To use this online calculator for Perimeter of Circular Segment given Central Angle, enter Radius of Circular Segment (r) & Central Angle of Circular Segment (∠_Central) and hit the calculate button. Here is how the Perimeter of Circular Segment given Central Angle calculation can be explained with given input values -> 25.70796 = (5*3.1415926535892)+(2*5*sin(3.1415926535892/2)).

FAQ

What is Perimeter of Circular Segment given Central Angle?

Perimeter of Circular Segment given Central Angle is defined as the total length around the edges of Circular Segment and calculated using the central angle of the Circular Segment and is represented as P = (r*∠_Central)+(2*r*sin(∠_Central/2)) or Perimeter of Circular Segment = (Radius of Circular Segment*Central Angle of Circular Segment)+(2*Radius of Circular Segment*sin(Central Angle of Circular Segment/2)). Radius of Circular Segment is the radius of the circle from which the Circular Segment is cut & Central Angle of Circular Segment is the angle subtended by the arc of a Circular Segment with the center of the circle from which the Circular Segment is cut.

How to calculate Perimeter of Circular Segment given Central Angle?

Perimeter of Circular Segment given Central Angle is defined as the total length around the edges of Circular Segment and calculated using the central angle of the Circular Segment is calculated using Perimeter of Circular Segment = (Radius of Circular Segment*Central Angle of Circular Segment)+(2*Radius of Circular Segment*sin(Central Angle of Circular Segment/2)). To calculate Perimeter of Circular Segment given Central Angle, you need Radius of Circular Segment (r) & Central Angle of Circular Segment (∠_Central). With our tool, you need to enter the respective value for Radius of Circular Segment & Central Angle of Circular Segment 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 Segment?

In this formula, Perimeter of Circular Segment uses Radius of Circular Segment & Central Angle of Circular Segment. We can use 1 other way(s) to calculate the same, which is/are as follows -

Perimeter of Circular Segment = Arc Length of Circular Segment+Chord Length of Circular Segment

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