Arc Length of Circular Arc given Sector Area Calculator

✖Sector Area of Circular Arc is the area enclosed by the sector formed by using the Circular Arc and corresponding radii.ⓘ Sector Area of Circular Arc [A_Sector]			+10% -10%
✖Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed.ⓘ Radius of Circular Arc [r_Arc]			+10% -10%

✖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 given Sector Area [l_Arc]

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Arc Length of Circular Arc given Sector Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Circular Arc = (2*Sector Area of Circular Arc)/Radius of Circular Arc
l_Arc = (2*A_Sector)/r_Arc
This formula uses 3 Variables

Variables Used

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.
Sector Area of Circular Arc - (Measured in Square Meter) - Sector Area of Circular Arc is the area enclosed by the sector formed by using the Circular Arc and corresponding radii.
Radius of Circular Arc - (Measured in Meter) - Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed.

STEP 1: Convert Input(s) to Base Unit

Sector Area of Circular Arc: 9 Square Meter --> 9 Square Meter No Conversion Required
Radius of Circular Arc: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = (2*A_Sector)/r_Arc --> (2*9)/5

Evaluating ... ...

l_Arc = 3.6

STEP 3: Convert Result to Output's Unit

3.6 Meter --> No Conversion Required

FINAL ANSWER

3.6 Meter <-- Arc Length of Circular Arc

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< Arc Length of Circular Arc Calculators

Arc Length of Circular Arc given Circumference

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

Arc Length of Circular Arc given Sector Area

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

Arc Length of Circular Arc

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

Arc Length of Circular Arc given Sector Area Formula

LaTeX Go

Arc Length of Circular Arc = (2*Sector Area of Circular Arc)/Radius of Circular Arc
l_Arc = (2*A_Sector)/r_Arc

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 Arc Length of Circular Arc given Sector Area?

Arc Length of Circular Arc given Sector Area calculator uses Arc Length of Circular Arc = (2*Sector Area of Circular Arc)/Radius of Circular Arc to calculate the Arc Length of Circular Arc, Arc Length of Circular Arc given Sector Area formula is defined as the length of the curve cut from the circle at a particular central angle and calculated using the sector area formed by the Circular Arc. Arc Length of Circular Arc is denoted by l_Arc symbol.

How to calculate Arc Length of Circular Arc given Sector Area using this online calculator? To use this online calculator for Arc Length of Circular Arc given Sector Area, enter Sector Area of Circular Arc (A_Sector) & Radius of Circular Arc (r_Arc) and hit the calculate button. Here is how the Arc Length of Circular Arc given Sector Area calculation can be explained with given input values -> 3.6 = (2*9)/5.

FAQ

What is Arc Length of Circular Arc given Sector Area?

Arc Length of Circular Arc given Sector Area formula is defined as the length of the curve cut from the circle at a particular central angle and calculated using the sector area formed by the Circular Arc and is represented as l_Arc = (2*A_Sector)/r_Arc or Arc Length of Circular Arc = (2*Sector Area of Circular Arc)/Radius of Circular Arc. Sector Area of Circular Arc is the area enclosed by the sector formed by using the Circular Arc and corresponding radii & Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed.

How to calculate Arc Length of Circular Arc given Sector Area?

Arc Length of Circular Arc given Sector Area formula is defined as the length of the curve cut from the circle at a particular central angle and calculated using the sector area formed by the Circular Arc is calculated using Arc Length of Circular Arc = (2*Sector Area of Circular Arc)/Radius of Circular Arc. To calculate Arc Length of Circular Arc given Sector Area, you need Sector Area of Circular Arc (A_Sector) & Radius of Circular Arc (r_Arc). With our tool, you need to enter the respective value for Sector Area of Circular Arc & Radius 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 Arc Length of Circular Arc?

In this formula, Arc Length of Circular Arc uses Sector Area of Circular Arc & Radius of Circular Arc. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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