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Two equations, solve for x

1°= x radians

90° = π/2 radians

1/90 = x/(π/2)

π/2 = 90x

x = π/180 ~= 0.01745 radians

Therefore: 1°= π/180 radians ~= 0.01745 radians

or easier to remember: 180° = π radians

Switching the equation around:

1 radian = (180/π)° ~= 57.2958°

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10y ago
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