What is the decimal degree equivalent of π/4 radians?

The decimal degree equivalent of π/4 radians is 45 degrees. This is derived from the relationship between radians and degrees, where one full revolution (or circle) is equal to 2π radians, which corresponds to 360 degrees.

To convert from radians to degrees, the formula used is:

Degrees = Radians × (180/π)

Applying this formula to π/4:

Degrees = (π/4) × (180/π)

When you simplify this, the π in the numerator and denominator cancels out:

Degrees = (180/4) = 45

Thus, π/4 radians accurately converts to 45 degrees. This understanding of the radian-to-degree conversion is important in various applications, such as in trigonometric calculations and when utilizing angle measures in geospatial analysis.