1 radian = 180/π ≈ 57.3°. A full circle = 2π radians = 360 degrees = 400 gradians.
Complementary angles sum to 90°. Supplementary angles sum to 180°.
Radians are preferred in calculus and physics — degrees in everyday geometry.
Reach for this calculator when you need a result you can act on confidently. The formula is straightforward, but manual computation introduces rounding errors that this tool eliminates entirely.
A common mistake is applying the formula in the wrong direction — particularly with percentage and ratio problems, where the part and the whole can be mistakenly swapped. Check which value is the reference (the 'whole') before entering inputs.
A shopper sees two versions of the same product at different prices: one at £14.50 for 400g and another at £11.99 for 300g. Running both price-per-gram calculations reveals the larger pack is 7% cheaper per unit — the kind of comparison that is impossible to do reliably in your head at the shelf.
Multiply degrees by π/180. Example: 90° × π/180 = π/2 radians.
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