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A circle with area

36

π

36πstart color #6495ed, 36, pi, end color #6495ed has a sector with a central angle of

11

6

π

6

11

​

πstart color #9d38bd, start fraction, 11, divided by, 6, end fraction, pi, end color #9d38bd radians .

What is the area of the sector?

Either enter an exact answer in terms of

π

πpi or use

3.14

3.143, point, 14 for

π

πpi and enter your answer as a decimal.

Respuesta :

Answer:

[tex]A=5940\ unit^2[/tex]

Step-by-step explanation:

Given that,

The area of a circle, [tex]A=36\pi[/tex]

Central angle, [tex]\theta=\dfrac{11\pi}{6}[/tex] = 330

We need to find the area of the sector. The formula for the area of sector is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{330}{360}\times 36\times 180\\\\A=5940\ unit^2[/tex]

So, the area of the sector is equal to [tex]5940\ unit^2[/tex].

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