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A circle has a radius of 8 ft.


What is the area of the sector formed by a central angle measuring 5π4 ?

Verified Answer :

wolf1728

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 \(\frac{5\pi }{4}\) and radius is 8ft

Now, the area of sector =  \(\frac{1}{2}*angle*radius^2\)

area= \(\frac{1}{2} *\frac{5\pi }{4}*8^2\)

area=\(40\pi\)

Answer \(40\pi\)

View image stokholm

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