Angles are usually given in degrees or in radians.
A circle is 360 degrees.
To convert degrees to radians, multiply the known degree by π/180.
Example 45 degrees = 45 x π/180 = 0.7854 radians.
To convert radians to degrees, multiply the known radian by 180/π.
5 radian = 5 x 180/π = 286.48 degrees.
The correlation between the measurements is written below.
An angle is a combination of two rays with a common endpoint.
The endpoint is called as the vertex of the angle,the rays are called the sides.
The various units in which angle is measure are Degree, radians and revolutions
A revolution is the measure of an angle formed when the initial side rotates all the way around its vertex until it reaches its initial position
One radian (1 rad) is the measure of the central angle (an angle whose vertex is the center of a circle) that intercepts an arc whose length is equal to the radius of the circle.
A degree is equal to 360 revolutions.
The correlation between the measurements can be written as
[tex]\rm 1 \;radian =(\dfrac{180}{\pi })^o = \dfrac{1}{2\pi } revolution[/tex]
For example 30° = π/6 radian = 1/12 revolutions
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