News:
2017.01.08
New calculla released ! Please go to calculla.com for the calculla v2. It's better, faster, more beautiful, redone for you in most modern technologies.
2015.08.25
Two cars related tables released today: Tire codes - speed ratings and Tire codes - load index
2015.07.30
2015.04.06
This time 3 new calculators for fractions: Fractions: adding and subtracting, Fractions: 4 operations and Fractions: inverse (reciprocal). Each of them shows all sub-steps needed to compute common denominators, create improper fraction (if needed), reduce the fraction etc.

Angle
Angle units converter. Converts radians, degrees, turns and many more.
Some facts
• The angle is part of the plane bounded by two half-lines having a common origin.
• The half-lines forming an angle are called the arms, and the point in which the arms are in contact is called the vertex.
• In everyday language, we often say "angle", when we think the angular measure.
• Angles are used to give location of object on the map. Point on the map is localized by two angles (coordinates): latitude and longitude. The reason of this, is fact, that the Earth is roughly spherical shape.
• In everyday life, most common angle units are degrees. In cartography, minutes (1/60 of degree) and - in case of more detailed measurements - seconds (1/60 of minute) are useful. Mathematicians and physicists use mainly radians.
• The concept of angle is stricly related with trigonometric functions, which have angle argument. Example trigonometric functions are sinus (sin), cosinus (cos) or tangens (tg).
• There are more general concepts of angle expanding definition to 3D space or even to spaces with more than three dimensions. The equivalent of plane angle in three-dimensional space is solid angle.
• If we sort arms of the angle, in such a way that one arm will be considered first and the second one final, then we will call such angle - directed angle. The directed angle can be defined by pair of two vectors with common origin {u, v}.
• There are many interesting angle related properties:
• The sum of all angles in triangle is 180 degrees (π).
• The sum of all angles in any quadrilateral (so in rectangle or square too) is 360 degrees (2π).
• In trapezium (br-eng: trapezium, us-eng: trapezoid) the sum of the neighbouring angles next to both short and long basis is 180 degrees (π).
• Circle can contains two kinds of angles:
• Inscribed angle – when its vertex is localized on boundaries of circle.
• Central angle – when its vertex is localized in the center of circle.
Angles classification
angle nameangular measure
in degrees
angular measure
zero angle0
half-whole angle180°π
whole angle360°
right angle90°π/2
acute angle from 0° to 90° from 0 to π/2
obtuse angle from 90° to 180° from π/2 to π
How to convert?
• Enter the number to field "value" - enter the NUMBER only, no other words, symbols or unit names. You can use dot (.) or comma (,) to enter fractions.
Examples:
• 1000000
• 123,23
• 999.99999
• Find and select your starting unit in field "unit". Some unit calculators have huge number of different units to select from - it's just how complicated our world is...
• And... you got the result in the table below. You'll find several results for many different units - we show you all results we know at once. Just find the one you're looking for.
value: unit: decimals:

### Degree

 degree [°] minute of arc ['] second of arc ["]

### Turns and part of turn

 turn quadrant right angle sextant octant sign hour angle point minute angle