How to Convert Radians to Degrees: A Step-by-Step Guide with Example Calculation

Converting radians to degrees

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

degrees = radians * (180/π)

Here, π (pi) is an irrational number approximately equal to 3

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

degrees = radians * (180/π)

Here, π (pi) is an irrational number approximately equal to 3.14159.

Let’s go through an example to understand the process better.

Suppose we have an angle measure of 2.5 radians and we want to convert it to degrees.

Using the formula, we have:

degrees = 2.5 * (180/π)

Now, let’s substitute the value of π as 3.14159 and calculate the result:

degrees = 2.5 * (180/3.14159)
degrees = 2.5 * 57.29578
degrees ≈ 143.239

Therefore, an angle of 2.5 radians is approximately equal to 143.239 degrees.

You can round the final answer to the desired level of precision based on the problem or context you are working with.

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