Converting Radians to Degrees

Radians: The SI unit of measuring angles is called radian. The representation of unit radian is as rad. The angle subtended at the center of the circle by the radius after one complete rotation is 2π radians.

Degrees: Angles are measured in degrees. As we all know one revolution is divided by 360 equal parts is called a degree. The symbol of degree is °. Whenever we measure an angle in degrees then the instrument used is a protractor.

Step-by-Step Procedure on Radian to Degrees Conversion

Both radians and degrees are two units used for angle measurement. We all know that Pi radians = 180 degrees. Thus, one radian is equivalent to 180°/π. (1 rad = 57.295779513°).

In order to convert radians to degrees, you simply need to get familiar with the radian to degree formula. Refer to these simple steps available and understand the concept process clearly & easily:

• First, remember that 1 radian = (180/π) degrees from the equations 360°=2π radians and 180°=π radians.
• This equation guides us to the rule of converting radian measure to degree measure.
• Simply, take the input radian and multiply by 180°/π radians to convert the angle given in radians to degrees.
• Simplify the expression and get the result in degrees measure.

Let's check out this solved example on converting from radians to degrees and understand the process in a comprehensive manner. Also, refer to the other conversion calculator on math calculations from arithmeticcalculator.com and improve your problem-solving skills.

Example:

Convert the angle π/15 rad into degrees using the radians to degrees formula.

Solution:

The radian to degree conversion formula is:

Angle in Radians × 180°/π = Angle in Degrees

(π/15) × (180°/π )= Angle in Degrees

Degrees = 180°/15

Degrees = 12°

Therefore, π/15 rad is equal to 12°.

Radians to Degrees Formula

One full counterclockwise rotation in radians is 2π and in degrees, it is 360°. Therefore, the formula to convert radians angle measure to degrees angle measure is:

Angle in Degrees = Angle in Radians × 180°/π

Facts on Radians to Degrees Conversion

The following are some of the essential points that need to be remembered while converting from radians(rad) to degrees(°).

• The basic units that are used to measure angles are radians and degrees.
• 1 rad equals 57.2958°.
• 1° equals 0.017453 radians.
• We multiply the given angle measurement by 180°/π, to convert an angle from radians to degrees.
• We multiply the given measure by π/180°, to convert an angle from degrees to radians.

Radians to Degrees Chart

As we know the circumference for a unit circle will be equivalent to 2π, i.e., the same as rotating 360º.

 

FAQs on Radians to Degrees Calculator Online with Steps

1. How do you convert radians to degrees fast?

All you need to do is just enter the input radians in the given field of the radians to degrees calculator tool and convert radians to degrees fast along with simple steps.

2. How do you convert radians to degrees without a calculator?

If you want to convert from radians to degrees without a calculator help then do multiply the radian value by 180/π that's it your desired degrees value will be obtained.

3. What is the radian formula?

The radian formula that we will be using to calculate converting the degree to radian is Radians = (Degrees x π)/180°.