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Length of arc 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)

3 Length of Chord of Circle Calculators

Length of arc when central angle and radius are given
arc_length = (pi*Radius*Central Angle)/(180*pi/180) Go
Length of a chord when radius and inscribed angle are given
chord_length = 2*Radius*sin(Inscribed Angle) Go
Length of a chord when radius and central angle are given
chord_length = 2*Radius*sin(Central Angle/2) Go

Length of arc when central angle and radius are given Formula

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

How to convert the arc length into degrees?

Multiply the arc length by 180/pi to convert it to a degree.

How to Calculate Length of arc when central angle and radius are given?

Length of arc when central angle and radius are given calculator uses arc_length = (pi*Radius*Central Angle)/(180*pi/180) to calculate the Arc Length, Length of arc when central angle and radius are given can be defined as the line segment joining any two points on the circumference of the circle provided the value of radius length and central angle for calculation. Arc Length and is denoted by s symbol.

How to calculate Length of arc when central angle and radius are given using this online calculator? To use this online calculator for Length of arc when central angle and radius are given, enter Radius (r) and Central Angle (θ) and hit the calculate button. Here is how the Length of arc 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 Length of arc when central angle and radius are given?
Length of arc when central angle and radius are given can be defined as the line segment joining any two points on the circumference of the circle provided the value of radius length and central angle for calculation 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 Length of arc when central angle and radius are given?
Length of arc when central angle and radius are given can be defined as the line segment joining any two points on the circumference of the circle provided the value of radius length and central angle for calculation is calculated using arc_length = (pi*Radius*Central Angle)/(180*pi/180). To calculate Length of arc 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 3 other way(s) to calculate the same, which is/are as follows -
  • chord_length = 2*Radius*sin(Central Angle/2)
  • chord_length = 2*Radius*sin(Inscribed Angle)
  • arc_length = (pi*Radius*Central Angle)/(180*pi/180)
Where is the Length of arc when central angle and radius are given calculator used?
Among many, Length of arc 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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