Turn a fraction to a decimal as in: 1/2= .5, 1/4 = .25
/
Multiply by as in: 2 = 6.283..., /2 = 1.571
x
 To convert degrees to radians, multiply the number of degrees by 180 then divide by .     This calculator will do that for you.     Input degrees, press equal, get radian written in decimal form. Enter negatives as "-x" rather than "- x" degrees radians.
 To convert radians to degrees, multiply the number of radians by and divide by 180.     This calculator will do that for you.     Input radians (as a decimal), press equal, get degree measure written in decimal form. Enter negatives as "-x" rather than "- x" radians degrees.

5.1 Circle's arcs and sectors

Radians make circle computation and these formulas MUCH easier and clearer.

For the full story, see Arc Formulas and Rational, and Sector Formulas and Rational.

Click on the image below to see an enlargement of the formulas that are used here.

 Input the data. radius = central angle measure in degrees = time (if needed) = Press button to obtain the computed measure. arc length, s, units of length linear speed (unit of length)/(unit of time) angular speed degrees/(unit of time) area of sector square units

 See: TAN GENTS AND OTHER THINGS OF INTEREST - Trig Resources! And on that page, Fractions, Radians, and Angles - an intro from a graphic standpoint

IN ENGLISH: 1. as defined above.

APPLICATION: See list 330.

Simplify:
1.
2.

This is a page from the dictionary MATH SPOKEN HERE!, published in 1995 by MATHEMATICAL CONCEPTS, inc., ISBN: 0-9623593-5-1.

 © 2005, 2019, 2022, Agnes Azzolino www.mathnstuff.com/math/spoken/here/1words/r/r1.htm