Question

What is the arc length when Θ = pi over 3 and the radius is 5 cm?

Answer 1

The circumference of the total circle is 10pi. The fraction of the circumference we want is
`( ( \pi )/(3) )/( 2 \pi ) = (1)/(6)`. One sixth of 10pi is 5/3pi, which is the length of the arc

Answer 2

Arc length = 5.23 cm

Explanation:

Given : Radius = 5 cm

Angle =
`\theta=(\pi)/(3)`

To find : Arc length(A)

Solution: The formula of arc length is

A = radius × angle(in radian)

`A= 5*(\pi)/(3)`

⇒
`(5\pi)/(3)`

A ⇒15.70/3 = 5.23 cm