Mathematical Calculators

Arc Length Calculator For Circle

Find out easily length of a circle's arc with this online math calculator!

Arc length calculator for circle

Arc length

Table of contents

What is an arc in math?
What is the length of an arc?
How to find the length of an arc?
What is an arc measurement?
How to find the arc measurement?
What is a central angle of an arc?
What is an inscribed angle of an arc?
What is the difference between minor and major arc?
What is a semicircular arc?
What is an intercepted arc?
What is the difference between degrees and radians?
Finding a length of an arc is fairly simple. You can calculate the length of an arc easily by using our calculator, or by following our instructions.
You will also learn the necessary formulas for the calculations and useful information regarding arcs.

What is an arc in math?

An arc is a portion of a circle's circumference.
Arc can also be a curved shape, such as an ellipse, but arc almost always refers to a circle.
Arc definition

What is the length of an arc?

The length of an arc is the length of its portion of the circumference.

How to find the length of an arc?

The arc's length can be calculated with the central angle of the arc and the radius of the circle.
The formula for the length of an arc:
l = 2πr(C∠/360°)
where,
l = length
r = radius
C∠ = central angle

What is an arc measurement?

The arc measure is a degree measurement that shows the central angle of the arc. It is commonly used to determine the circumference of a circle.

How to find the arc measurement?

Arc measurement can be easily found by calculating it with the length of an arc and the radius of an arc.
The formula for the measurement of an arc:
a = s/r * (180 * π)
where,
a = arc measurement
s = arc length
r = radius

What is a central angle of an arc?

A central angle of an arc is the angle that has its vertex on the center of the circle and its endpoints on the circumference of the circle.
Central angle of an arc

What is an inscribed angle of an arc?

Inscribed angles are defined as arcs that are on a circle and intersect an arc on it. They are measured as half of the measure of an intercepted arc and half of the measure of the central angle, which is intersecting the same arc.
Inscribed angle of an arc

What is the difference between minor and major arc?

The circumference of a circle can be divided into two parts by cutting it into two sections. The parts of the circumference are called arcs.
A minor arc is the shorter arc of the circles' circumference. The measure of this arc is less than 180 degrees.
A major arc is the longer arc of the circles' circumference. The measure of the angle of the major arc is greater than 180 degrees.
Minor and major arc

What is a semicircular arc?

A semi-circular arc is an arc, which has a central angle of exactly 180 degrees.

What is an intercepted arc?

An intercepted arc is a type of arc that appears when a pair of lines or chords cross a circle and meet at a certain point.
Defition of an intercepted arc

What is the difference between degrees and radians?

The degree and the radians are different units used for measuring an angle. The former is the older method of measuring an angle, while the latter is the more complicated one.
Radian is a unit of the plane angular measure that is equal to the center of a circle's subtended by an arc which length equals the radius.
A degree is a unit of measure that shows the angle between a circle's center and its sides and is equal to ¹/₃₆₀ of the circumference.
Simple demonstration of the differences between degrees and radians

John Cruz
Article author
John Cruz
John is a PhD student with a passion to mathematics and education. In his freetime John likes to go hiking and bicycling.

Arc Length Calculator For Circle English
Published: Mon Sep 13 2021
In category Mathematical calculators
Add Arc Length Calculator For Circle to your own website