Skip to main content
Search IntMath
Close

450+ Math Lessons written by Math Professors and Teachers

5 Million+ Students Helped Each Year

1200+ Articles Written by Math Educators and Enthusiasts

Simplifying and Teaching Math for Over 23 Years

Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class.

A Brief Introduction to Arc Length

In mathematics, the length of an arc is the portion of a curve between two endpoints. It is one of the main geometric measurements used in formalizing cost function distance minimization problems like the traveling salesman problem. The concept can be generalized to objects other than curves, for example, straight-line segments in the plane.

 

How to Calculate Arc Length

There are a few key things you need to know in order to calculate arc length. First, you need to know the radius of the circle. Second, you need to know the central angle of the arc in question. The central angle is the angle formed by two radii at the center of a circle. Finally, you need to know pi, which is 3.1415…

 

Once you have all of this information, you can plug it into the following formula:

L = r*θ

Where L equals arc length, r equals radius, and θ equals central angle.

For example, let’s say we have a circle with a radius of 3 and we want to find out the arc length of an arc that has a central angle of 30 degrees. We would plug these numbers into the formula like so:

L = 3*30

Which would give us an answer of 90.

 

As you can see, calculating arc length is actually quite simple once you know what you’re doing. Just remember to always use pi whenever dealing with circles or spherical objects! And if you ever forget how to do it, just refer back to this blog post—we’ve got you covered.


FAQ

What is the meaning of arc length?

The arc length of a curve is the distance between two points on the curve. The arc length of a circle is the circumference of the circle. The arc length of an ellipse is the perimeter of the ellipse. The arc length of a parabola is the length of the curve. The arc length of a hyperbola is the distance between the two points on the curve where the tangent lines are parallel.

 

What is the importance of arc length?

The arc length of a curve is important because it is a measure of the distance between two points on the curve. The arc length of a circle is the circumference of the circle. The arc length of an ellipse is the perimeter of the ellipse. The arc length of a parabola is the length of the curve. The arc length of a hyperbola is the distance between the two points on the curve where the tangent lines are parallel.What is the formula for arc length?The arc length of a curve is the distance between two points on the curve. The arc length of a circle is the circumference of the circle. The arc length of an ellipse is the perimeter of the ellipse. The arc length of a parabola is the length of the curve. The arc length of a hyperbola is the distance between the two points on the curve where the tangent lines are parallel.

 

What is arc length and how do you find it?

The arc length of a curve is the distance between two points on the curve. To find the arc length of a curve, you need to know the coordinates of the two points on the curve and the length of the curve. The arc length of a circle is the circumference of the circle. The arc length of an ellipse is the perimeter of the ellipse. The arc length of a parabola is the length of the curve. The arc length of a hyperbola is the distance between the two points on the curve where the tangent lines are parallel.

24x7 Tutor Chat

Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class.