Respuesta :

Answer:

The area of the sector[tex]=28.26feet^2[/tex]

Step-by-step explanation:

The area of the sector= [tex]\frac{\beta }{360}*\pi *r^2[/tex]

Given:

[tex]\beta =90\\r=6feet[/tex]

Putting the values in the formula:

Area of the sector:

                       [tex]=\frac{90}{360}*3.14*6*6[/tex]

                        [tex]=\frac{90}{360} *3.14*36[/tex]

                        [tex]=\frac{1}{4}*3.14*36[/tex]

                          [tex]=3.14*9[/tex]

                     [tex]=28.26feet^2[/tex]

The area of the sector[tex]=28.26feet^2[/tex]

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