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We find r the radius .
r^2= 8^2+(r-2)^2
r^2= r^2-4r+4+64
4r =68
r = 17 cm............................................(1)
Find
tan = 8/17
2 = 56.1449 (Angle AOC)
Area of segment = A = (½) × r^2 × [(π/180) *θ - sin θ]
Plug all the values
(56.1449*(pi/180) - sin(56.1449 degrees))* 0.5*17^2
=21.5975 cm^2
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