Symbolic algebra
ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations
invalid inputs
Inputs data - value and unit, which we're going to convert#
| Value | ||
| Unit | ||
| Decimals |
Image: how your angle looks like#
Radian#
| Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
Degree#
| Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
Turns and part of turn#
| Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
military#
| Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
other#
| Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |
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 to 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).
- The sum of all angles in triangle 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.
- Inscribed angle – when its vertex is localized on boundaries of circle.
Angles classification
| angle name | angular measure in degrees | angular measure in radians |
| zero angle | 0° | 0 |
| half-whole angle | 180° | π |
| whole angle | 360° | 2π |
| right angle | 90° | 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.
Tags and links to this website#
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Permalink#
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Links to external sites (leaving Calculla?)#
Ancient version of this site - links#
In December 2016 the Calculla website has been republished using new technologies and all calculators have been rewritten. Old version of the Calculla is still available through this link: v1.calculla.com. We left the version 1 of Calculla untouched for archival purposes.
Direct link to the old version: "Calculla v1" version of this calculator
Direct link to the old version: "Calculla v1" version of this calculator