Credits

Softusvista Office (Pune), India
Team Softusvista has created this Calculator and 500+ more calculators!
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1000+ more calculators!

Arc Length of Circle given radius and central angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
arc_length = Radius*Central Angle
s = r*Anglecentral
This formula uses 2 Variables
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
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: 10 Meter --> 10 Meter No Conversion Required
Central Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = r*Anglecentral --> 10*0.785398163397301
Evaluating ... ...
s = 7.85398163397301
STEP 3: Convert Result to Output's Unit
7.85398163397301 Meter --> No Conversion Required
FINAL ANSWER
7.85398163397301 Meter <-- Arc Length
(Calculation completed in 00.016 seconds)

9 Arc of Circle Calculators

Angle subtended by arc of Circle given radius and arc length
angle_a = (pi*Arc Length)/(Radius of circle*180*pi/180) Go
Arc length of Circle given area of quadrant
arc_length = 2*pi*(Area/pi)^(0.5) Go
Arc length of Circle given area and corresponding angle
arc_length = (Area/pi)*Angle Go
Arc Length of Circle given radius and central angle
arc_length = Radius*Central Angle Go
Arc length of Circle given radius and angle subtended by arc
arc_length = Radius*Angle A Go
Arc length of Circle given radius and corresponding angle
arc_length = Radius*Angle Go
Arc length of Circle given tangent chord angle
arc_length = 2*Inscribed Angle Go
Arc length of Circle given inscribed angle
arc_length = 2*Inscribed Angle Go
Arc length of Circle given central angle
arc_length = Central Angle Go

Arc Length of Circle given radius and central angle Formula

arc_length = Radius*Central Angle
s = r*Anglecentral

What is arc of circle.

An arc of a circle is any portion of the circumference of a circle. To recall, the circumference of a circle is the perimeter or distance around a circle. Therefore, we can say that the circumference of a circle is the full arc of the circle itself.

How to Calculate Arc Length of Circle given radius and central angle?

Arc Length of Circle given radius and central angle calculator uses arc_length = Radius*Central Angle to calculate the Arc Length, Arc Length of circle given radius and central angle is the distance between two points along a section of a curve. Arc Length and is denoted by s symbol.

How to calculate Arc Length of Circle given radius and central angle using this online calculator? To use this online calculator for Arc Length of Circle given radius and central angle, enter Radius (r) & Central Angle (Anglecentral) and hit the calculate button. Here is how the Arc Length of Circle given radius and central angle calculation can be explained with given input values -> 7.853982 = 10*0.785398163397301.

FAQ

What is Arc Length of Circle given radius and central angle?
Arc Length of circle given radius and central angle is the distance between two points along a section of a curve and is represented as s = r*Anglecentral or arc_length = Radius*Central Angle. Radius is a radial line from the focus to any point of a curve & 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 Circle given radius and central angle?
Arc Length of circle given radius and central angle is the distance between two points along a section of a curve is calculated using arc_length = Radius*Central Angle. To calculate Arc Length of Circle given radius and central angle, you need Radius (r) & Central Angle (Anglecentral). With our tool, you need to enter the respective value for Radius & 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 & Central Angle. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • arc_length = Radius*Angle A
  • angle_a = (pi*Arc Length)/(Radius of circle*180*pi/180)
  • arc_length = Central Angle
  • arc_length = 2*Inscribed Angle
  • arc_length = 2*Inscribed Angle
  • arc_length = Radius*Angle
  • arc_length = 2*pi*(Area/pi)^(0.5)
  • arc_length = (Area/pi)*Angle
  • arc_length = Radius*Central Angle
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!