Arc Length Calculator
Calculation History
What is Arc Length?
In geometry, the arc length of a circle is the distance along the curved line forming the arc. It is a portion of the circumference of a circle.
It’s commonly used in math problems, engineering, architecture, and CAD applications, where precise measurements of curves are needed.
Arc Length Formula
The arc length LLL of a circle can be calculated using the formula: L=r×θL = r \times \thetaL=r×θ
Where:
- LLL = Arc Length
- rrr = Radius of the circle
- θ\thetaθ = Central angle (in radians)
To convert degrees to radians: θ (radians)=θ∘×π180\theta \text{ (radians)} = \theta^\circ \times \frac{\pi}{180}θ (radians)=θ∘×180π
Why Use an Arc Length Calculator?
Manually calculating arc length can be tricky and time-consuming. Our Arc Length Calculator makes it easy with:
- ✅ Instant results
- ✅ Simple input fields
- ✅ Support for degrees & radians
- ✅ Error-proof logic
Whether you’re a student, teacher, or engineer, this tool will save you time and ensure accuracy.
How to Use the Arc Length Calculator
Just follow these steps:
- Enter the radius of the circle.
- Enter the central angle in degrees or radians.
- Hit Calculate.
- Get your arc length result instantly!
Example Problem
Q: Find the arc length of a circle with radius 10 units and angle 60°.
Solution:
- Convert 60° to radians:
60∘×π180=π360^\circ \times \frac{\pi}{180} = \frac{\pi}{3}60∘×180π=3π
- Use the formula:
L=10×π3=10π3≈10.47 unitsL = 10 \times \frac{\pi}{3} = \frac{10\pi}{3} ≈ 10.47 \text{ units}L=10×3π=310π≈10.47 units
Let the calculator verify it for you!
