Circle radius calculator

The size of any circle depends on one single parameter that guides it when it is drawn - this is the radius. The radius of a circle, by definition, is the distance from the center of the circle to each point on it. The radius of the circle is directly proportional to the circumference and diameter.

Circle — is a part of a plane lying inside a circle. In other words, this is the geometrical location of the points of the plane, the distance from which to a given point, called the center of the circle, does not exceed a given non-negative number. The number is called the radius of this circle. If the radius is zero, then the circle degenerates to a point.

The circle radius is the distance from the center of a circle to any point on its circumference. It is an important measurement when designing and building structures that require circular shapes, such as wheels, gears, or circular tubes.

Circle Radius Formulas

To calculate the circle radius, you can use the following formulas:

Through circumference

The radius of the circle is the equidistance of all points of the circle from its center. Regardless of the size of the circle, the radius is the ratio of the circumference to twice the number π, approximately equal to 3.14. The formula is:

r = \dfrac{P}{2\pi}

Where P is the circumference(the distance around the circle), and π is the mathematical constant pi (approximately equal to 3.14).

Through area

The radius of circle can be calculated based on the area. To do this, extract the square root of the ratio of the area of the circle to the number π. The formula is:

r = \sqrt{\dfrac{S}{\pi}}

Where S is the area of the circle.

Our circle radius calculator makes it easy for you to find the radius of your circle. Simply chose the formula, enter the circumference or the area of your circle into the calculator, and it will automatically calculate the radius for you. This tool is perfect for engineers, architects, and anyone else who needs to calculate circle radii quickly and accurately.

Example of Using Circle Radius Calculator

Let's say you need to find the radius of a circular gear with a circumference of 50 inches. Using the formula, you would need to divide the circumference by 2π, which would give you a radius of approximately 7.96 inches.

However, if you use our circle radius calculator, you can simply enter the circumference of 50 inches, and the calculator will automatically calculate the radius for you, which is 7.96 inches.

Conclusion

In conclusion, the circle radius is an important measurement when working with circular shapes. Our circle radius calculator makes it easy to find this measurement quickly and accurately. Whether you are designing a wheel, gear, or any other circular structure, our calculator will help you get the job done. So, use our calculator today and make your calculations easier!