Question

If the radius of the circle is 90 cm, and the length (L) of its arc is 25 cm, what is the degree of the measure of the arc?

Answer 1

`theta=16^@`

Explanation:

Circumference of the Circle `=2pir` where `r=90 cm`

`=2pitimes90`

`=180pi`

So we can write

`(Circumference)/360=L/theta`;where `L=25=`Length of Arc and `theta` is the measure of the Arc
or
`(180pi)/360=25/theta`
or
`pi/2=25/theta`
or
`theta=50/pi`
or
`theta=16^@`