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

Answer:

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

Step-by-step explanation:

The area of a sector with measure $\theta$ in degrees is given by $r^2\pi\cdot\frac{\theta}{360}$, where $r$ is the radius of the sector.

What we're given:

• $r$ of 5
• $\theta$ of $195^{\circ}$

Solving, we get:

$A_{sector}=5^2\pi\cdot \frac{195}{360}=13.5416666667\pi=42.5424005174\approx \boxed{42.5\:\mathrm{m^2}}$

*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