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Add Angles Calculator

Add up to three angles in degrees and get the total with automatic normalization to the 0 to 360 degree range. This calculator also shows the result in radians and counts full rotations, making it useful for navigation, trigonometry, robotics, and any application where angles combine and wrap around.

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Result

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Formula

#
Core Formula
Total Angle = angle1 + angle2 + angle3

How it works: The calculator adds all entered angles together, then normalizes the result into the standard 0 to 360 degree range by removing full 360-degree rotations. It also converts the total to radians (multiply by pi/180) and reports how many full rotations the total represents.

Worked Example

Adding 120 + 95 + 200 degrees:
1Step 1: Raw sum = 120 + 95 + 200 = 415 degrees
2Step 2: Full rotations = 415 / 360 = 1 full rotation with 55 degrees remaining
3Step 3: Normalized angle = 55 degrees
4Step 4: In radians = 415 x pi / 180 = 7.2432 radians (or normalized: 0.9599 radians)

Frequently Asked Questions

Can I add negative angles?

Yes. Negative angles represent clockwise rotation. The calculator adds them algebraically and normalizes the result to the standard 0 to 360 degree range. For example, 90 + (-45) = 45 degrees.

Why normalize to 0 to 360 degrees?

Angles repeat every 360 degrees (one full rotation). A 415-degree angle points in the same direction as a 55-degree angle. Normalization removes full rotations to give the equivalent compass-style direction.

What if I only need to add two angles?

Set the third angle to 0. The calculator works with any combination, including leaving unused fields at zero.

Does this work for angles in a triangle?

Yes. You can verify that a triangle's angles sum to 180 degrees by entering all three. If the sum is not exactly 180, the triangle measurements may have rounding errors.

How do I convert the result to radians?

The calculator shows the radian equivalent automatically. To convert manually, multiply degrees by pi / 180. For example, 55 degrees = 55 x 3.14159 / 180 = 0.9599 radians.

Can I use this Add Angles Calculator on my own web page?

You can. Look for the "Embed" button near the top of this calculator. It lets you pick a size, border style, and color palette, then gives you an iframe tag to paste into any webpage. The widget is responsive, loads fast, and costs nothing. More details at calculory.com/services/embed-calculators.

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