To calculate the radius of a circle from its area, divide the area (A) by pi (π), then take the square root of the result. This gives you the radius in the same unit as the area.
Radius from Area Calculator
A Radius from Area Calculator helps you find the radius of a circle based on its area. This calculation is useful when you know the area of a circle and want to determine its radius. The formula to calculate the radius is r = √(A / π), where r is the radius, and A is the area of the circle. This formula allows you to easily calculate the radius in square meters, feet, or any other unit of area.
Formula:
r = √(A / π)
| Symbol | Meaning |
|---|---|
| r | Radius |
| A | Area of the Circle |
| π | Pi (approximately 3.14159) |
Solved Calculation:
Example 1:
| Calculation | Instructions |
|---|---|
| Given: A = 50 square meters | Start with the given area of the circle. |
| r = √(50 / π) | Divide the area by π. |
| r = √(50 / 3.14159) | Perform the division. |
| r = √15.92 | Take the square root of the result. |
| r ≈ 3.99 meters | The radius of the circle is approximately 3.99 meters. |
Answer: The calculated radius is approximately 3.99 meters.
Example 2:
| Calculation | Instructions |
|---|---|
| Given: A = 100 square feet | Start with the given area of the circle. |
| r = √(100 / π) | Divide the area by π. |
| r = √(100 / 3.14159) | Perform the division. |
| r = √31.83 | Take the square root of the result. |
| r ≈ 5.64 feet | The radius of the circle is approximately 5.64 feet. |
Answer: The calculated radius is approximately 5.64 feet.
What is Radius From Area Calculator ?
A Radius From Area Calculator is a handy tool for determining the radius of a circle based on its area. To find the radius, you start with the area value and use a specific method or formula that relates area to radius. This calculation is particularly useful in various fields, such as construction, landscaping, and design.
If you want to determine the radius from an area, simply input the area into the calculator. For example, if the area of a circle is 63.7 square kilometers, the calculator will provide the radius based on that value. This tool can also convert surface area to radius, making it easy to switch between different measurements.
Many calculators are available online, such as a circle radius from area calculator or a find radius from area calculator. These tools allow you to quickly find the radius without complex calculations.
Final Words:
The knowledge to find the radius from the area is essential for anyone working with circular objects or spaces, ensuring accurate measurements for projects and designs. Whether you are calculating the dimensions for a garden, a pool, or any circular feature, this calculator makes the process straightforward.
