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Q: How do you convert angles to radian measure?

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-1.257 radian

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Degrees = (180/pi)*Radians

protractor radian ruler

Multiply the radian measure by 360/2pi

this is just another way of measuring angles. pi radians = 180 degrees.

Just as you can measure a distance in metres and centimetres or in feet and inches, you can measure angles in degrees or radians. You can either set your calculator to radians, or convert from radians to degrees using 1 radian = 180/pi degrees = 57.3 degrees approx or 1 degree = pi/180 radians.

1 revolution = 2pi radians therefore; 1 radian = 1revolution/2 pi radians = 0.159154943 revolution

You do not. A metre is a measure of linear displacement whereas a radian is a measure of angular displacement. The two measure different things and, according to the basic principles of dimensional analysis, conversion from one to the other is fundamentally invalid.

The only radian I know is the ratio of arc length to radius of the arc and as such has no units. It is used to measure angles and a full turn is 2π radians. So converting 7900 radian to meters is nonsense - unless there is another use of radian which I do not know.

You must multiply that by pi/180, to convert to radians.

Multiply the degree measure by (1/(180 times pi))

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