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]