Angle Converter
Free online angle converter. This angle conversion calculator converts between ten different angle measurement units. It explains how to convert degrees to radians, and gives you the definition of an angle, radian, and more. Use our angle conversion calculator to quickly convert angle measurements, including degrees, radians, and grads. Instant free online angle conversion tool for the right angle to degree conversion or vice versa.
Angle Conversion Calculator Online
Angle converters are tools or online calculators used to convert angles from one unit of measurement to another (e.g. degrees to radians). They typically support conversions between several different units including degrees, radians, gradians, and turns.
What is an angle?
An angle is a geometrical concept that describes the amount of rotation between two lines or planes. It is usually measured in degrees or radians and is represented by the symbol ∠. Angles are used in various mathematical and engineering fields, such as geometry, trigonometry, and navigation.
What is the angle calculator?
An angle calculator is a tool or online calculator that is used to perform various calculations related to angles. It typically provides various functions, such as:

Angle conversion: converting angles from one unit of measurement to another (e.g. degrees to radians)

Addition and subtraction of angles

Trigonometric functions: calculating sine, cosine, and tangent of an angle

Inverse trigonometric functions: finding the angle given the value of sine, cosine, or tangent

Anglebased geometric calculations: finding the length of sides, areas, and volumes of figures using angles.
These calculators provide a convenient and fast way to perform anglerelated calculations for various applications in mathematics, engineering, and other fields.
How to convert units of Angles?
To convert units of angles, you can use the following formulas:

Degrees to Radians: radians = (degrees * π) / 180

Radians to Degrees: degrees = (radians * 180) / π

Degrees to Gradians: gradians = degrees * (400/360)

Gradians to Degrees: degrees = gradians * (360/400)

Radians to Gradians: gradians = radians * (200/π)

Gradians to Radians: radians = gradians * (π/200)
Note: π is Pi, a mathematical constant approximately equal to 3.14.
What is a radian and how to convert degrees to radians?
A radian is a unit of measurement for angles. It is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle.
To convert degrees to radians, you can use the following formula: radians = (degrees * π) / 180, where π is Pi, a mathematical constant approximately equal to 3.14.
How to convert degrees from minutes and seconds to decimal degrees?
o convert degrees minutes seconds (DMS) to decimal degrees (DD), you can use the following formula:
DD = degrees + (minutes/60) + (seconds/3600)
Example:
Suppose you have an angle in DMS of 37° 25' 19". DD = 37 + (25/60) + (19/3600) = 37.42194444444444.
How do you convert the angle to slope?
To convert an angle to a slope, you can use the tangent function. The tangent of an angle is equal to the ratio of the opposite side to the adjacent side of a right triangle.
Given an angle measured in radians, the slope can be calculated as:
slope = tan(angle)
Note: If the angle is measured in degrees, it needs to be converted to radians first using the formula: radians = (degrees * π) / 180, where π is Pi, a mathematical constant approximately equal to 3.14.
What is 180 as an angle?
An angle of 180 degrees (often written as 180°) is a straight angle. A straight angle is an angle that measures exactly 180 degrees, which forms a straight line and separates two halves of a plane into two equal parts. It is a commonly used angle in geometry, trigonometry, and navigation.