Pheonix99
Pheonix99 Pheonix99
  • 15-02-2017
  • Mathematics
contestada

explain the relationships among angle measure in degrees, angle measure in radians, and arc length.

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MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 24-02-2017
The fundamental definition of a radian: take a piece of string as long as the radius of a circle, and bend it round the circumference, The angle it subtends at the centre is a radian. 

Because you need 2*pi radii to to go all round a circle, it follows that 2*pi radians = 360 degrees; 1 radian = 180/pi degrees. 

An arc length L subtends an angle (L/r) radians where r is the radius of the circle.
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