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

Question

Sholpan [36]

4 years ago

8

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

central angle?

Mathematics

1 answer:

Crank · Answer 1 · 2021-12-15T15:22:05+03:00

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.