Converting Radians to Degrees: A Step-by-Step Guide with Examples

Converting radians to degrees

To convert radians to degrees, you can use the formula:

Degree = Radian * (180/π)

Here, π is a mathematical constant approximately equal to 3

To convert radians to degrees, you can use the formula:

Degree = Radian * (180/π)

Here, π is a mathematical constant approximately equal to 3.14159.

Let’s say you have an angle measurement in radians, such as π/3. To convert it to degrees, apply the formula:

Degree = (π/3) * (180/π)

Since π can cancel out in the equation, the calculation becomes:

Degree = (1/3) * 180

Degree = 60

So, π/3 radians is equal to 60 degrees.

Another example: let’s convert 3π/4 radians to degrees.

Degree = (3π/4) * (180/π)

Again, π cancels out, leaving us with:

Degree = (3/4) * 180

Degree = 135

Therefore, 3π/4 radians is equal to 135 degrees.

Remember to make sure that your calculator is set in the correct mode (degrees or radians) before performing calculations.

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