What is the reference angle of - 3 radians? Explain.

Reference angle of - 3 radians is α = - 171° 53 min 15 sec.

We know the formula for calculating circular arc

Let l=circular arc which ic according to central angle of the circle α

l = ((2R π) / 360) α Let l=1 radian and R=1 (unit circle with radius R=1)

1 = ((2π) / 360) α = > α = 360 / (2π) = 180/π = 57° 17 min 45sec

Angle of the 1 radian is equal to angle 57° 17min 45sec

According to this

angle of the - 3 radians = - 3 (57° 17min 45sec) = - 171° 53min 15sec

when you count in the clockwise direction.

Good luck!