Question

Please help the question is in the picture.

Answer 1

`\text{A. }(5)/(6)\pi x^2`

Explanation:

The area of a sector with measure
`\theta` is equal to
`r^2\pi\cdot (\theta)/(360)`

Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.

What we know:

• 
  `\theta` of
  `300^(\circ)`
• 
  `r` of
  `x`

Thus, the area of the sector is
`x^2\pi\cdot (300)/(360)=\boxed{\text{A. }(5)/(6)\pi x^2}`