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A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. [4] It is not an SI unit—the SI unit of angular measure is the radian—but it is mentioned in the SI brochure as an accepted unit. [5]
Conversion of common angles Turns Radians Degrees Gradians; 0 turn 0 rad 0° 0 g 1 / 72 turn π / 36 or 𝜏 / 72 rad 5° 5 + 5 / 9 g 1 / 24 turn π / 12 or 𝜏 / 24 rad
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In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained. By symmetry, the bisected side is half of the side of the equilateral triangle, so one concludes sin ( 30 ∘ ) = 1 / 2 {\displaystyle \sin(30^{\circ ...
The second is readily determined from the Earth's rotation period. Unlike other units, time multiples are not decimal. A second is 1 / 60 of a minute, which is 1 / 60 of an hour, which is 1 / 24 of a day, so a second is 1 / 86 400 of a day.
The minute of arc (or MOA, arcminute, or just minute) is 1 / 60 of a degree = 1 / 21,600 turn. It is denoted by a single prime ( ′ ). For example, 3° 30′ is equal to 3 × 60 + 30 = 210 minutes or 3 + 30 / 60 = 3.5 degrees. A mixed format with decimal fractions is sometimes used, e.g., 3° 5.72′ = 3 + 5.72 / 60 ...
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