Please help me with this

Question

What is the length of an arc that is cut off by an angle of 210 degrees in a circle of radius 5?

Answer 1

What is the length of an arc that is cut off by an angle of 210 degrees in a circle of radius 5?

Arc / Radius = Angle in radian

210 degree = pi*210/180 radian =(pi*21)/18 = (pi*7)/6 radian

(pi*7)/6 = Arc / radius

Arc/5 = (pi*7)/6

Find Arc

Answer 2

The entire circumference (which is 360 degrees) is 10pi so for 210 degrees it would be (210/360)(10pi) which is 5.33pi