find length of the intercepted arc in a central circle with central angle 132 degrees and radius 6cm

Question

this is hard need help

Answer 1

We need to convert the angle 132 deg into radians first. We multiply 132 by (pi)/180=2.3038 because 180 deg=(pi) radians. The arc subtended by the angle has length (radius) times (angle in radians)=6*2.3038=13.82cm approx.
Another way of doing this is by simple proportion.
The circumference of the circle is 2(pi)r=37.70cm.
The angle at the centre is 360 deg. So by proportion arc/circumference=132/360 and the arc=2(pi)*6*132/360=13.82cm.