Respuesta :

Sector area = central angle (degrees / 360) * PI * radius^2
Sector area = (225 / 360) * PI * 64
Sector area = .625 * 201.0619298297
Sector area = 125.66


Answer:

Step-by-step explanation:

Alright lets get started.

Please refer the diagram attached.

we have given the angle of the sector is [tex]\frac{5\pi }{4}[/tex] and radius is 8ft

Now, the area of sector =  [tex]\frac{1}{2}*angle*radius^2[/tex]

area= [tex]\frac{1}{2} *\frac{5\pi }{4}*8^2[/tex]

area=[tex]40\pi[/tex]

Answer [tex]40\pi[/tex]

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