Respuesta :

kendrariley715

Answer:

The area of the circle is [tex]36\pi\ units^{2}[/tex]

Step-by-step explanation:

we know that

The area of a circle subtends a central angle of [tex]2\pi[/tex] radians

so

By proportion find the area of the circle

[tex]\frac{33\pi }{(11\pi /6)}=\frac{x}{2\pi}\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^{2}[/tex]

dannielle

Answer:

Step-by-step explanation:

Area of the sector =

[pi*r^2*11*pi/6]/360=pi^2*r^2*11/6*360=pi*r^2*11*180/2160=33 pi

r^2=71280/11*pi=6480/pi=6480/180=36

Area of the circle=pi*r^2=36 pi

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