Arc Length Calculator

Arc Length Calculator is a useful tool for calculating the length of an arc in a circle based on its radius and central angle.

What is the purpose of the Arc Length Calculator?

The Arc Length Calculator helps determine the length of a curve (arc) between two points on a circle using the radius and the central angle between those points.

Arc Length Calculator formula

To calculate the length of an arc, the formula is:

Arc Length = 2 * π * Radius * (Central Angle / 360)

Where:

• Radius is the distance from the center of the circle to any point on its circumference.
• Central Angle is the angle between two radii drawn to the endpoints of the arc, measured in degrees.

Arc Length Calculator examples

Example 1: Simple Example

1. Let’s say the radius of a circle is 10 cm and the central angle is 60°.
2. We apply the formula:
   Arc Length = 2 * π * 10 * (60 / 360)
Arc Length = 2 * π * 10 * (1/6)
Arc Length = 10.472 cm
   Result: In this case, the arc length will be 10.472 cm.

Example 2: Another Example

1. This time, the radius of the circle is 15 cm and the central angle is 90°.
2. We apply the formula:
   Arc Length = 2 * π * 15 * (90 / 360)
Arc Length = 2 * π * 15 * (1/4)
Arc Length = 23.561 cm
   Result: In this case, the arc length will be 23.561 cm.

The Arc Length Calculator is an excellent tool for determining the arc length of any circle when the radius and central angle are known.