1 In a circle with radius 19 find length of the arc spanned

1. In a circle with radius 19, find length of the arc spanned by a central angle of pi/6 radians.

2. convert radians to degrees 5pi/3.

1) radius = 19 units

Arc length spanned by central angle = (pi/6 / 2pi)*circumference

= (pi/6 / 2pi)*2pi*radius

= pi*19/6 = 19pi/6 = 9.948 units

2) Radians to degree:

1 radian = (180/pi) deg

So, 5pi/3 radians = (180/pi)*5pi/3

= 180*5/3 =300 deg