## Radius

### The radius is a fundamental measurement in geometry and trigonometry

The radius is a fundamental measurement in geometry and trigonometry. It is defined as the distance from the center of a circle or sphere to any point on its circumference or surface, respectively. The radius is a crucial component for calculations involving circles, such as determining the circumference, area, or diameter.

To find the radius of a circle, you need to know either the circumference or the diameter. If you have the circumference, you can use the formula:

radius = circumference / (2 * π)

where π is a mathematical constant approximately equal to 3.14159.

Example: If the circumference of a circle is 10π units, the radius can be calculated as follows:

radius = 10π / (2 * π) = 10 / 2 = 5 units

If you have the diameter, it is a direct measurement of the radius. The diameter is simply twice the length of the radius. So, to find the radius from the diameter, you divide the diameter by 2.

Example: If the diameter of a circle is 12 units, the radius can be found by dividing the diameter by 2:

radius = 12 / 2 = 6 units

In conclusion, the radius is the distance from the center to any point on the circumference or surface of a circle or sphere, respectively. It can be calculated from the circumference by dividing it by 2π, or from the diameter by dividing it by 2.

## More Answers:

Calculating the Circumference of a Circle: Step-by-Step Guide and Formula ExplanationCalculating the Area and Perimeter of a Composite Figure: Step-by-Step Guide

The Importance of Pi in Mathematics and its Practical Applications