Question

I need to find the angle of a sector of a circle when the arc length is 9pi/8 and the radius is 4.5, please help me!!

Answer 1

The angle of a sector of a circle is or
`0.25 \pi` or 0.785 radians

Solution:

The arc length when angle in radians is given by formula:

`s = r * \theta`

Where,

r is the radius

From given,

`r = 4.5\\\\s = (9 \pi )/(8)`

Substituting the values we get,

`(9 \pi )/(8) = 4.5 * \theta\\\\\theta = (9 \pi )/(8 * 4.5)\\\\\theta = 0.25 \pi`

Thus angle of a sector of a circle is or
`0.25 \pi` or 0.785 radians