What Is FREE TOOLS Arc Length Calculator?
An Arc Length Calculator is a free online mathematics tool that calculates the length of a curved portion of a circle, known as an arc.
It is useful for students, engineers, architects, construction professionals, and anyone working with circular measurements.
How Does an Arc Length Calculator Work?
The calculator typically uses the radius of the circle and the angle of the arc.
When the angle is measured in radians, the formula is:
Arc Length = r × θ
Where:
- r = radius of the circle
- θ = central angle in radians
- L = arc length
If the angle is given in degrees, the formula is:
Arc Length = (θ ÷ 360) × 2πr
Example
Suppose a circle has:
- Radius = 10 inches
- Central angle = 90°
The arc length is:
L = (90 ÷ 360) × 2π(10)
L ≈ 15.71 inches
So, the curved section of the circle is approximately 15.71 inches long.
What Can a Free Arc Length Calculator Calculate?
A free Arc Length Calculator can calculate:
- Arc length
- Circle radius
- Central angle
- Circumference
- Arc measurements in degrees
- Arc measurements in radians
- Minor arc length
- Major arc length
Why Use an Arc Length Calculator?
An Arc Length Calculator helps users:
- Solve geometry problems quickly
- Check mathematical calculations
- Calculate curved distances
- Work with circular designs
- Determine measurements for engineering and construction projects
- Convert between degrees and radians
- Avoid complicated manual calculations
In simple terms: a FREE Arc Length Calculator is an online tool that quickly determines the distance along a curved section of a circle using its radius and central angle.
