formula.expert

Constants library

3 values, each with its units, its uncertainty, and where it came from.

Mathematical 3

Degrees per Radian exact

180π=57.29577951308232 ∘/rad\frac{180}{\pi} = 57.29577951308232\ ^{\circ}\text{/rad}

°/radThe size of one radian in degrees, 57.2957795130823° — an exact conversion factor, since the degree is defined as exactly π/180 radians.

Radians per Degree exact

π180=0.017453292519943295 rad\frac{\pi}{180} = 0.017453292519943295\ \text{rad}

radOne degree expressed in radians, π/180 = 0.0174532925199433 rad — the exact factor for converting degrees into radians.

Gradians per Degree exact

109=1.1111111111111112 gon/∘\frac{10}{9} = 1.1111111111111112\ \text{gon/}^{\circ}

gon/°The exact ratio of gradians to degrees, 10/9 = 1.11111111111111 — a right angle is 100 gon, so 90° maps onto 100 gon.