Question

Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find the length, in terms of a radian measure, of .

Answer 1

The arc length will be given as: l = r*x
Where x is the angle in radian
l is arc length
r is radius

Now, given angle = 60
To convert into radian we use the relation,
2π (radian) = 360 degree

Therefore, 60 degree in radian wil be =(2π/360)*60
= π/3

Therefore, arc length= r*angle
= 5*π/3
= 5π/3