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Verified Answer :

If u see circle make 360° as a whole
So 45 ° is 1/8th of the entire angle

If u find whole area of a circle= pi×r^2
r=4 ft
A= 16π
So divide it by 8
A= 2π feet^2

Sinc the radius of the circle is 4 feet, the area = \(\pi\)\(r^{2}\). The area would equal \(16 \pi\). Then, \(\frac{360}{45}\) would equal 8, and \(\frac{16 \pi }{8}\) would equal \(2 \pi\)