- #1
mahtab
- 4
- 0
what are the dimensions of angles?
Dimensions of Angles - Measurements & Calculations
- Thread starter mahtab
- Start date
-
- Tags
- Angles Dimensions
In summary, the most commonly used units of measurement for angles are degrees, radians, and gradians. To convert between degrees and radians, you can use the formulas π/180 and 180/π. There are three types of angles: acute, obtuse, and right. The sum of interior angles in a triangle is always 180 degrees and in a quadrilateral it is always 360 degrees. Angles can have a negative measure, which is usually measured clockwise from the positive x-axis.
- #2
HallsofIvy
Science Advisor
Homework Helper
- 42,988
- 981
Angles don't have units. It might be better to think of angles in terms of arcs. The "radian" measure of an angle is the length of the arc it subtends at a distance r divided by r. Since those are both distance measures, their ratio is "dimensionless".
- #3
tiny-tim
Science Advisor
Homework Helper
- 25,839
- 258
Welcome to PF!
Hi mahtab! Welcome to PF!
Angles are dimensionless.
Cos, sin, etc, are functions of angles, and, like log, they can only be functions of dimensionless numbers.
mahtab said:
Hi mahtab! Welcome to PF!
Angles are dimensionless.
Cos, sin, etc, are functions of angles, and, like log, they can only be functions of dimensionless numbers.
- #4
mahtab
- 4
- 0
thank you HallsofIvy&tiny-tim !:)
FAQ: Dimensions of Angles - Measurements & Calculations
What are the different units of measurement for angles?
The most commonly used units of measurement for angles are degrees, radians, and gradians.
How do you convert between degrees and radians?
To convert from degrees to radians, multiply the measure in degrees by π/180. To convert from radians to degrees, multiply the measure in radians by 180/π.
What is the difference between acute, obtuse, and right angles?
An acute angle is less than 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a right angle is exactly 90 degrees.
How do you calculate the sum of angles in a triangle or quadrilateral?
The sum of the interior angles in a triangle is always 180 degrees. The sum of the interior angles in a quadrilateral is always 360 degrees.
Can an angle have a negative measure?
Yes, angles can have negative measures. A negative angle is usually measured clockwise from the positive x-axis.