Question

What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4

Answer 1

Formula to find the arc length is:

`s=(\theta)/(360) 2\pi r`

Where, s= arc length,

r = radius of the circle

`\theta`= central angle in degrees.

According to the given problem,
`\theta= 72` and r = 4.

So, first step is to plug in these values in the above formula to get the arc length.

`s=(72)/(360) 2\((3.14) (4)` Since π = 3.14

`=(1)/(5) *25.12` By simplifying.

`=(25.12)/(5)`

So, arc length = 5.024