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ser-zykov [4K]
3 years ago
5

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 h

undredth of a square centimeter
Mathematics
1 answer:
jeka57 [31]3 years ago
8 0

Answer:

The area of the sector should be 9.42cm^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

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