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Degrees to Radians Calculator

Degrees and radians are two ways to measure angles. Degrees divide a circle into 360 equal parts, while radians measure the angle based on the radius of the circle. Many conduit bending formulas and trigonometric functions require angles in radians, making this conversion essential for accurate calculations.

This calculator takes an angle in degrees and returns the equivalent value in radians. Common reference points include 90° = π/2 rad, 180° = π rad, and 360° = 2π rad.

Formula

Radians = Degrees × (π / 180)

π / 180 ≈ 0.0174533

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Frequently Asked Questions

What is the formula for converting degrees to radians?

Multiply the angle in degrees by pi divided by 180. For example, 90 degrees multiplied by pi/180 equals pi/2 radians (approximately 1.5708 radians).

Why do electricians need to convert degrees to radians?

Many conduit bending formulas use trigonometric functions that require angles in radians. Converting degrees to radians ensures accurate calculations for offset bends, rolling offsets, and saddle bends.

How many radians are in a full circle?

A full circle is 2 times pi radians, approximately 6.28318 radians. A half circle (180 degrees) is pi radians, and a right angle (90 degrees) is pi/2 radians.