Question

a circle with a radius of 3 has a sector with a certral angle of 1 over 9 (fraction) pi radians. what is the area of the sector?

Answer 1

`Area= (\pi )/(2)`

Explanation:

Recall that the formula for the area of a sector of
`\theta` radians in a circle circle of radius "r" is given by the formula:

`Area=(1)/(2) r^2\, \theta`

so in this case, the radius is 3 and the angle is
`(1)/(9) \pi`:

`Area=(1)/(2) r^2\, \theta\\Area=(1)/(2) 3^2\, (1)/(9) \pi\\Area= (\pi )/(2)`