The Chord Length Calculator is a valuable tool used in geometry to determine the length of a chord in a circle based on the circle’s radius and the angle subtended by the chord at the circle’s center, all measured in radians. The formula for calculating the chord length (L) is:
Formula of Chord Length Calculator
Chord Length (L) = 2 * Radius (R) * sin(θ/2)
Where:
- L is the chord length.
- R is the radius of the circle.
- θ (theta) is the angle subtended by the chord at the center of the circle in radians.
This calculation helps individuals and professionals in various fields, such as engineering, architecture, mathematics, and more, to precisely determine the length of a chord within a circle without manual measurement.
Table of General Terms
Here is a table summarizing general terms related to the Length Calculator that people often search for:
| Term | Description |
|---|---|
| Chord Length | Length of a line segment within a circle, connecting two endpoints. |
| Circle Radius | Distance from the center of a circle to any point on its circumference. |
| Angle | Measure of rotation between two rays sharing the same endpoint. |
| Radians | Unit of angular measurement derived from the radius of a circle. |
This table aims to assist users by providing quick definitions of common terms associated with the Length Calculator.
Example of Chord Length Calculator
Let’s consider an example to illustrate the practical application of theLength Calculator:
Suppose we have a circle with a radius (R) of 5 meters and an angle (θ) subtended by the chord of π/3 radians. Using the formula mentioned earlier:
Chord Length (L) = 2 * 5 * sin(π/6) = 2 * 5 * 0.5 = 10 * 0.5 = 5 meters
Therefore, the chord length in this example is 5 meters.
Most Common FAQs:
A: Simply input the circle’s radius and the angle subtended by the chord in radians into the respective fields of the calculator, and click “Calculate” to obtain the chord length.
A: Yes, the calculator is applicable to circles of all sizes, allowing users to compute length accurately.
A: The calculator is specifically design for circles; therefore, it might not provide accurate results for irregular shapes.