Angle of Circular Arc given Arc Length and Circumference Calculator

✖Arc Length of Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle.ⓘ Arc Length of Circular Arc [l_Arc]			+10% -10%
✖Circumference of Circle of Circular Arc is the total length of the boundary of the circle from which the Circular Arc is formed.ⓘ Circumference of Circle of Circular Arc [C_Circle]			+10% -10%

✖Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.ⓘ Angle of Circular Arc given Arc Length and Circumference [∠_Arc]

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Angle of Circular Arc given Arc Length and Circumference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Circular Arc = (2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular Arc
∠_Arc = (2*pi*l_Arc)/C_Circle
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Angle of Circular Arc - (Measured in Radian) - Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.
Arc Length of Circular Arc - (Measured in Meter) - Arc Length of Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle.
Circumference of Circle of Circular Arc - (Measured in Meter) - Circumference of Circle of Circular Arc is the total length of the boundary of the circle from which the Circular Arc is formed.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Circular Arc: 4 Meter --> 4 Meter No Conversion Required
Circumference of Circle of Circular Arc: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Arc = (2*pi*l_Arc)/C_Circle --> (2*pi*4)/30

Evaluating ... ...

∠_Arc = 0.837758040957278

STEP 3: Convert Result to Output's Unit

0.837758040957278 Radian -->48.000000000009 Degree (Check conversion here)

FINAL ANSWER

48.000000000009 ≈ 48 Degree <-- Angle of Circular Arc

(Calculation completed in 00.020 seconds)

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Created by Pramod Singh

Indian Institute of Technology (IIT), Guwahati

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National Institute of Technology (NIT), Jamshedpur

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< Angle of Circular Arc Calculators

Angle of Circular Arc given Arc Length and Circumference

LaTeX Go Angle of Circular Arc = (2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular Arc

Angle of Circular Arc given Sector Area

LaTeX Go Angle of Circular Arc = (2*Sector Area of Circular Arc)/(Radius of Circular Arc^2)

Angle of Circular Arc given Arc Length

LaTeX Go Angle of Circular Arc = Arc Length of Circular Arc/Radius of Circular Arc

Angle of Circular Arc given Inscribed Angle

LaTeX Go Angle of Circular Arc = 2*Inscribed Angle of Circular Arc

Angle of Circular Arc given Arc Length and Circumference Formula

LaTeX Go

Angle of Circular Arc = (2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular Arc
∠_Arc = (2*pi*l_Arc)/C_Circle

What is a Circular Arc?

Circular Arc is basically a piece of the circumference of a circle. More specifically it is a curve cut from the boundary of a circle in a particular central angle, which is the angle subtended by the end points of the curve with respect to the center of the circle. Any two points on a circle will give a pair of supplementary arcs. Out of them, the larger arc is called major arc and the smaller arc is called minor arc.

What is 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 Angle of Circular Arc given Arc Length and Circumference?

Angle of Circular Arc given Arc Length and Circumference calculator uses Angle of Circular Arc = (2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular Arc to calculate the Angle of Circular Arc, Angle of Circular Arc given Arc Length and Circumference formula is defined as the angle subtended by the arc with center of the circle from which the Circular Arc is made, and calculated using the arc length and circumference of the circle of Circular Arc. Angle of Circular Arc is denoted by ∠_Arc symbol.

How to calculate Angle of Circular Arc given Arc Length and Circumference using this online calculator? To use this online calculator for Angle of Circular Arc given Arc Length and Circumference, enter Arc Length of Circular Arc (l_Arc) & Circumference of Circle of Circular Arc (C_Circle) and hit the calculate button. Here is how the Angle of Circular Arc given Arc Length and Circumference calculation can be explained with given input values -> 2750.197 = (2*pi*4)/30.

FAQ

What is Angle of Circular Arc given Arc Length and Circumference?

Angle of Circular Arc given Arc Length and Circumference formula is defined as the angle subtended by the arc with center of the circle from which the Circular Arc is made, and calculated using the arc length and circumference of the circle of Circular Arc and is represented as ∠_Arc = (2*pi*l_Arc)/C_Circle or Angle of Circular Arc = (2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular Arc. Arc Length of Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle & Circumference of Circle of Circular Arc is the total length of the boundary of the circle from which the Circular Arc is formed.

How to calculate Angle of Circular Arc given Arc Length and Circumference?

Angle of Circular Arc given Arc Length and Circumference formula is defined as the angle subtended by the arc with center of the circle from which the Circular Arc is made, and calculated using the arc length and circumference of the circle of Circular Arc is calculated using Angle of Circular Arc = (2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular Arc. To calculate Angle of Circular Arc given Arc Length and Circumference, you need Arc Length of Circular Arc (l_Arc) & Circumference of Circle of Circular Arc (C_Circle). With our tool, you need to enter the respective value for Arc Length of Circular Arc & Circumference of Circle of Circular Arc 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 Angle of Circular Arc?

In this formula, Angle of Circular Arc uses Arc Length of Circular Arc & Circumference of Circle of Circular Arc. We can use 3 other way(s) to calculate the same, which is/are as follows -

Angle of Circular Arc = Arc Length of Circular Arc/Radius of Circular Arc
Angle of Circular Arc = (2*Sector Area of Circular Arc)/(Radius of Circular Arc^2)
Angle of Circular Arc = 2*Inscribed Angle of Circular Arc

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