Arc Angle from Arc length and Radius Calculator

Main Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D Geometry	Circle ↺
Circle	Arc of a Circle ↺

✖Arc length is the distance between two points along a section of a curve.ⓘ Arc Length [s]			+10% -10%
✖The Radius of circle is the distance from center of circle to the the circle.ⓘ Radius of circle [r]			+10% -10%

✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Arc Angle from Arc length and Radius [ϑ]

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Credits

Pramod Singh

Indian Institute of Technology (IIT), Guwahati

Pramod Singh has created this Calculator and 10+ more calculators!

Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has verified this Calculator and 100+ more calculators!

Arc Angle from Arc length and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

theta = (pi*Arc Length)/(Radius of circle*180*pi/180)
ϑ = (pi*s)/(r*180*pi/180)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Arc Length - Arc length is the distance between two points along a section of a curve. (Measured in Meter)
Radius of circle - The Radius of circle is the distance from center of circle to the the circle. (Measured in Centimeter)

STEP 1: Convert Input(s) to Base Unit

Arc Length: 2.4 Meter --> 2.4 Meter No Conversion Required
Radius of circle: 10 Centimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϑ = (pi*s)/(r*180*pi/180) --> (pi*2.4)/(0.1*180*pi/180)

Evaluating ... ...

ϑ = 24

STEP 3: Convert Result to Output's Unit

24 Radian -->1375.09870831423 Degree (Check conversion here)

FINAL ANSWER

1375.09870831423 Degree <-- Theta

(Calculation completed in 00.016 seconds)

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< 10+ Arc of a Circle Calculators

Arc Angle from Arc length and Radius

theta = (pi*Arc Length)/(Radius of circle*180*pi/180) Go

Arc length from Radius and Arc Angle

arc_length = Radius of circle*Subtended Angle in Radians Go

Length of major arc when angle formed outside and minor arc are given

length_of_major_arc = (2*Angle A)+Length of Minor Arc Go

Length of minor arc when angle formed outside and major arc are given

length_of_minor_arc = Length of Major Arc-(2*Angle A) Go

Length of arc intercepted when other arc and angle formed are given

major_axis = (2*Angle A)+Minor axis Go

Arc measure

arc_measure = Arc Length/Radius Go

Length of arc when radius and corresponding angle are given

arc_length = Radius*Angle A Go

Length of arc intercepted by tangent chord angle

arc_length = 2*Inscribed Angle Go

Length of arc intercepted by inscribed angle

arc_length = 2*Inscribed Angle Go

Length of arc intercepted by central angle

arc_length = Central Angle Go

Arc Angle from Arc length and Radius Formula

theta = (pi*Arc Length)/(Radius of circle*180*pi/180)
ϑ = (pi*s)/(r*180*pi/180)

What is Arc Angle?

The angle that an arc makes at the center of the circle of which it is a part. In other words The angle subtended by two radii of circle to the center of the circle is called the Arc Angle.

How to Calculate Arc Angle from Arc length and Radius?

Arc Angle from Arc length and Radius calculator uses theta = (pi*Arc Length)/(Radius of circle*180*pi/180) to calculate the Theta, The Arc Angle from Arc length and Radius of a circle is an angle that arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in degree. Theta and is denoted by ϑ symbol.

How to calculate Arc Angle from Arc length and Radius using this online calculator? To use this online calculator for Arc Angle from Arc length and Radius, enter Arc Length (s) and Radius of circle (r) and hit the calculate button. Here is how the Arc Angle from Arc length and Radius calculation can be explained with given input values -> 1375.099 = (pi*2.4)/(0.1*180*pi/180).

FAQ

What is Arc Angle from Arc length and Radius?

The Arc Angle from Arc length and Radius of a circle is an angle that arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in degree and is represented as ϑ = (pi*s)/(r*180*pi/180) or theta = (pi*Arc Length)/(Radius of circle*180*pi/180). Arc length is the distance between two points along a section of a curve and The Radius of circle is the distance from center of circle to the the circle.

How to calculate Arc Angle from Arc length and Radius?

The Arc Angle from Arc length and Radius of a circle is an angle that arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in degree is calculated using theta = (pi*Arc Length)/(Radius of circle*180*pi/180). To calculate Arc Angle from Arc length and Radius, you need Arc Length (s) and Radius of circle (r). With our tool, you need to enter the respective value for Arc Length and Radius of circle 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 Theta?

In this formula, Theta uses Arc Length and Radius of circle. We can use 10 other way(s) to calculate the same, which is/are as follows -

arc_measure = Arc Length/Radius
arc_length = Radius of circle*Subtended Angle in Radians
theta = (pi*Arc Length)/(Radius of circle*180*pi/180)
arc_length = Central Angle
arc_length = 2*Inscribed Angle
arc_length = 2*Inscribed Angle
major_axis = (2*Angle A)+Minor axis
length_of_major_arc = (2*Angle A)+Length of Minor Arc
length_of_minor_arc = Length of Major Arc-(2*Angle A)
arc_length = Radius*Angle A

Where is the Arc Angle from Arc length and Radius calculator used?

Among many, Arc Angle from Arc length and Radius calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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