Arc length of the circle when central angle and radius are given Calculator

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✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+10% -10%
✖A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.ⓘ Central Angle [θ]			+10% -10%

✖Arc length is the distance between two points along a section of a curve.ⓘ Arc length of the circle when central angle and radius are given [s]

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Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 500+ more calculators!

Team Softusvista

Softusvista Office (Pune), India

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Arc length of the circle when central angle and radius are given Solution

STEP 0: Pre-Calculation Summary

Formula Used

arc_length = (pi*Radius*Central Angle)/(180*pi/180)
s = (pi*r*θ)/(180*pi/180)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
Central Angle - A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B. (Measured in Degree)

STEP 1: Convert Input(s) to Base Unit

Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
Central Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = (pi*r*θ)/(180*pi/180) --> (pi*0.18*0.785398163397301)/(180*pi/180)

Evaluating ... ...

s = 0.141371669411514

STEP 3: Convert Result to Output's Unit

0.141371669411514 Meter --> No Conversion Required

FINAL ANSWER

0.141371669411514 Meter <-- Arc Length

(Calculation completed in 00.016 seconds)

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Arc length of the circle when central angle and radius are given

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

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

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Length of arc intercepted by inscribed angle

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Length of arc intercepted by central angle

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Arc length of the circle when central angle and radius are given Formula

arc_length = (pi*Radius*Central Angle)/(180*pi/180)
s = (pi*r*θ)/(180*pi/180)

What is arc length and how it is calculated ?

The arc of a circle (◡) is part of the circle, connecting two points on the circle. It is calculated through the formula l =( πr/ 180° ) *α Where l is the arc length and α is the central angle of the circle.

How to Calculate Arc length of the circle when central angle and radius are given?

Arc length of the circle when central angle and radius are given calculator uses arc_length = (pi*Radius*Central Angle)/(180*pi/180) to calculate the Arc Length, Arc length of the circle when central angle and radius are given is part of the circle, connecting two points on the circle. Arc Length and is denoted by s symbol.

How to calculate Arc length of the circle when central angle and radius are given using this online calculator? To use this online calculator for Arc length of the circle when central angle and radius are given, enter Radius (r) and Central Angle (θ) and hit the calculate button. Here is how the Arc length of the circle when central angle and radius are given calculation can be explained with given input values -> 0.141372 = (pi*0.18*0.785398163397301)/(180*pi/180).

FAQ

What is Arc length of the circle when central angle and radius are given?

Arc length of the circle when central angle and radius are given is part of the circle, connecting two points on the circle and is represented as s = (pi*r*θ)/(180*pi/180) or arc_length = (pi*Radius*Central Angle)/(180*pi/180). Radius is a radial line from the focus to any point of a curve and A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.

How to calculate Arc length of the circle when central angle and radius are given?

Arc length of the circle when central angle and radius are given is part of the circle, connecting two points on the circle is calculated using arc_length = (pi*Radius*Central Angle)/(180*pi/180). To calculate Arc length of the circle when central angle and radius are given, you need Radius (r) and Central Angle (θ). With our tool, you need to enter the respective value for Radius and Central Angle 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?

In this formula, Arc Length uses Radius and Central Angle. 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 length of the circle when central angle and radius are given calculator used?

Among many, Arc length of the circle when central angle and radius are given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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