Question

The central angle of an arc measures 120° The radius of the circle measures 3 cm what is the area of the sector to the nearest hundredth of a square centimeter

Answer 1

Answer:

The area of the sector should be 9.42$cm^2$ .

Step-by-step explanation:

-The formula for finding the area of a sector:

$A = \frac{Arc}{360} \pi r^2$

-Next use the arc measure and the radius in order to solve and get the answer:

$A = \frac{120\textdegree}{360\textdegree}\pi 3^2$

-Solve:

$A = \frac{120\textdegree}{360\textdegree}\pi 3^2$

$A = \frac{120\textdegree}{360\textdegree}\pi \times3^2$

$A = \frac{1}{3} \pi \times 3^2$

$A = \frac{1}{3} \pi \times 9$

$A = 3\pi \approx 9.424$

-Round to the nearest hundredth:

$A \approx 9.42$