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saa0risaCat
saa0risaCat saa0risaCat
  • 24-12-2016
  • Mathematics
Answered

When calculating the length of an arc, does it matter which unit of measurement (radians or degrees) you use when measuring the central angle?

Verified Answer :

Edufirst
Edufirst Edufirst
  • 26-12-2016

No, it does not matter.

If you measure the central angle in degress, you use the proportion

circumference / 360° = length of arc / central angle in degrees,

and if you measure the angle in radians, you use the proportion

circumference / (2π) = length of arc / central angle in radians.

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