### What is Arc Length?

The arc length is the distance along the curved line making up the arc. It is a portion of the circumference of a circle.

### How to Use the Calculator

**Enter the Radius:** Input the radius of the circle.
**Enter the Central Angle:** Input the angle in degrees or radians.
**Click Calculate:** The calculator will find the arc length.

**Example Input Values**

- Radius: 5 units
- Central Angle: 45 degrees

### How to Calculate Arc Length

**Formula**

$L = r \times \theta$

**Variables**

Variable |
Meaning |

$L$ |
Arc Length |

$r$ |
Radius |

$\theta$ |
Central Angle (in radians) |

#### Basic calculator Calculation Example

Let’s calculate the arc length step-by-step using the basic example values.

**1 .**Convert the angle to radians if necessary.

45 degrees = $45 \times \frac{\pi}{180}$

**2. **Multiply the radius by the angle in radians.

$L = 5 \times 0.7854$

**3. **The result is the arc length.

$L = 3.927$

#### Advanced Calculator Calculation Example

Let’s calculate the arc length step-by-step using the advanced example values.

**1 . **Convert the angle to radians if necessary.

90 degrees = $90 \times \frac{\pi}{180}$

**2. **Multiply the radius by the angle in radians.

$L = 10 \times 1.5708$

**3. **The result is the arc length.

$L = 15.708$

### Calculator Input Examples

**1. Basic Example**

Radius |
Central Angle |
Arc Length |

5 units |
45 degrees |
3.93 units |

**2. Advanced Example**

Radius |
Central Angle |
Arc Length |

10 units |
90 degrees |
15.71 units |

### FAQs

**What units should I use?**

You may use any units for radius and angle, but it is essential to be consistent.

**Can I put in the angles in degrees?**

Yes, the calculator is able to convert degrees to radians.

**What if the angle amounts to more than 360 degrees?**

The calculator will process any angle, although angles greater than 360 degrees will cycle around the circle.

### Final Thought

How do you think about our arc length calculator? Please, share your experiences and feedback with us. Your insights help us improve the tool.