How To Find Radius

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From Area

Finding the radius of a circle from its area is an easy task if you know some basic equations. Knowing the radius of a circle is important in many calculations, particularly in geometry and geometry-based engineering and construction. Here’s how you can calculate the radius of a circle when you know the area.

Step 1: Understand the basic equation used to calculate the radius of a circle.

The equation is as follows:

radius = √(area / π)

In this case, the radius is the variable we are trying to solve, so we will be using this equation to calculate the radius of a circle given its area.

Step 2: Substitute the known area into the equation.

For example, if the area of the circle given was 36π, you would substitute this into the equation like so:

radius = √(36π / π)

Step 3: Simplify the equation.

Once you have inserted the area into the equation, you will then simplfy any fractional or decimal portions that may remain by dividing the numerator and denominator by the same number.

In this case, the equation would look like this:

radius = √(36 / 1)

Step 4: Calculate the square root.

Once simplified, you can then calculate the square root of the given number. Taking the above example, this would look like this:

radius = 6

Step 5: Interpret your result.

Your result is the radius of the circle. In this case, it is 6. This means that the radius of the circle with an area of 36π is 6.