Question

How would you find the length of the arc on a circle with a radius of 20 m intercepted by a central angle of 138°?

Answer 1

Find the circumference of the circle, then ...

Explanation:

Circumference `=2pir=2pi(20)=40pi` meters

Arc Length `=(central angle)/(360^o)xx(Circumference)=138/360xx40pi`

`=46/3pi~~48.2` meters

hope that helps

Answer 2

I found `48.16m`

Explanation:

You can use the fact that the length `s` of an arc to an angle `theta` (in radians) of a circle of radius `r` is:
`s=r*theta`
in your case:
`theta=138^@=138^@/(180^@)*pi=2.408 "rad"`
So:
`s=2.408*20=48.16m`