A circle with radius \pink{9}9start color #ff00af, 9, end color #ff00af has a sector with a central angle of \purple{120^\circ}120 ∘ start color #9d38bd, 120, degrees, end color #9d38bd. What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Respuesta :

Answer:

Area of sector = 84.861

Step-by-step explanation:

Given

The radius of the circle = 9

central angle of sector = [tex]120^{o}[/tex]

value of pi π = 3.143

To find : the area of sector = ?

We know that the formula to calculate area of sector is given as:

area of sector = (π [tex]r^{2}[/tex]Θ)/ [tex]360^{o}[/tex]

where, r  is radius and Θ is the central angle of the sector

Substituting the known values in above formula, we get

area of sector = (3.143 x [tex]9^{2}[/tex] x [tex]120^{o}[/tex]) / [tex]360^{o}[/tex]

                        = 84.861

Hence area of sector is 84.861

Answer:

27 pi

Step-by-step explanation:

just did this one