Question

Need help ASAP. i forgot all the steps after the Area is solved with 5. or if 25pi is the right answer.

Answer 1

`42.5\:\mathrm{m^2}`

Explanation:

The area of a sector with measure
`\theta` in degrees is given by
`r^2\pi\cdot(\theta)/(360)`, where
`r` is the radius of the sector.

What we're given:

• 
  `r` of 5
• 
  `\theta` of
  `195^(\circ)`

Solving, we get:

`A_(sector)=5^2\pi\cdot (195)/(360)=13.5416666667\pi=42.5424005174\approx \boxed{42.5\:\mathrm{m^2}}`

*Notes:

• units should be in square meters (area)
• the problem does not say whether to round or leave answers in term of pi, so you may need to adjust the answer depending on what your teacher specifically wants