Question

The radius of a circle is 1. What is the length of an arc that subtends an angle of

​6radians?

Answer 1

pi/6

Explanation:

the full arc of the circle is the circumference = 2pi×r.

since r = 1, we get circumference = 2pi.

the full arc of 2pi is for 360° or 2pi radians (hence the definition).

an angle given in radians for the norm circle with radius = 1 IS therefore already the arc length for that angle.

for 2pi the arc length is 2pi.

for pi/6 the arc length is ... pi/6.