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

Degrees x ? = radians

To convert degrees to radians, you need to multiply the degree measurement by a conversion factor

To convert degrees to radians, you need to multiply the degree measurement by a conversion factor. The conversion factor is π/180, where π is approximately equal to 3.14159.

So the formula to convert degrees to radians is:
Radians = Degrees x (π/180)

Let’s say we have a degree measurement of 45 degrees. We can use the formula to find the equivalent in radians:

Radians = 45 x (π/180)
Radians = 45π/180
Radians = π/4

Therefore, 45 degrees is equal to π/4 radians.

Let’s take another example: 90 degrees. We can use the same formula again:

Radians = 90 x (π/180)
Radians = 90π/180
Radians = π/2

Therefore, 90 degrees is equal to π/2 radians.

In general, to convert degrees to radians, you need to multiply the degree measurement by (π/180).

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