Central Angle Calculator Information:
The Central Angle Calculator is a tool that allows you to determine the central angle of a circle given the arc length and radius. In geometry, a central angle is an angle whose vertex is at the center of a circle, and its arms extend to two points on the circumference.
The formula used to calculate the central angle is:
Central Angle = (Arc Length / Radius) * (180 / π)
In this formula:
- Arc Length represents the length of the arc measured along the circumference of the circle. It is typically denoted by the symbol “s”.
- Radius refers to the distance between the center of the circle and any point on its circumference. It is commonly denoted by the symbol “r”.
- π (pi) is a mathematical constant approximately equal to 3.14159, which represents the ratio of the circumference of a circle to its diameter.
To use the Central Angle Calculator, you need to provide the values for the arc length and radius. Once you enter these values and click the “Calculate” button, the calculator applies the formula to determine the central angle. The result is typically given in degrees.
For example, if you have an arc length of 10 units and a radius of 5 units, the central angle can be calculated as follows:
Central Angle = (10 / 5) * (180 / π) ≈ 36.37 degrees
The Central Angle Calculator simplifies this calculation process, allowing you to quickly obtain the central angle given the arc length and radius values.