Multiply the radius of the circle by the central angle (in radians) to calculate the arc length.
The Arc Length Calculator is a practical tool for determining the length of an arc in a circle. Whether solving geometry problems, planning curved constructions, or dealing with circular measurements, calculating arc length accurately is essential.
Formula
Contents
L = r ∗ Θ
| Variable | Definition | Units |
|---|---|---|
| L | Arc length | Units of length (e.g., cm, m) |
| r | Radius of the circle | Units of length (e.g., cm, m) |
| Θ | Central angle | Radians |
Solved Calculations
Example 1: Find the arc length for a circle with radius 10 cm and central angle 2 radians.
| Step | Value | Explanation |
|---|---|---|
| Radius (r) | 10 cm | Given value |
| Central Angle (Θ) | 2 radians | Given value |
| Arc Length (L) | 20 cm |
Example 2: Calculate the arc length of a semicircle with a radius of 5 meters.
| Step | Value | Explanation |
|---|---|---|
| Radius (r) | 5 m | Given value |
| Central Angle (Θ) | π radians | A semicircle subtends radians |
| Arc Length (L) | 15.71 m |
What is the Arc Length & How it is Calculated ?
The Arc Length Calculator is a specialized tool which is designed to calculate the length of an arc based on input parameters such as radius, central angle, or curve equations.
This tool is invaluable in geometry, physics, and engineering, where precise arc length measurements are crucial for designs, analyses, and problem-solving.
This calculator simplifies the process by requiring inputs like the radius and angle (in degrees or radians). Once provided, it computes the arc length quickly and accurately, saving time and effort compared to manual calculations.
It is particularly useful in determining the arc length for circular segments, parametric curves, and other geometric applications.
Using this tool ensures consistent and accurate results, eliminating potential errors in manual computation. Its versatility makes it ideal for professionals, educators, and students tackling complex geometrical problems or engineering projects.
Final Words:
Ultimately, the Arc Length Calculator is an indispensable resource for precise and efficient arc length calculations, empowering users to achieve accuracy and reliability across various scientific, academic, and engineering applications.
