(a) Find an expression for the angle for which the grey area A, is f times...
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(a) Find an expression for the angle for which the grey area A, is f times the area of the outer square Ag. Your expression for 8 should take the form: 0=B- where B is a constant and C(f) is a function of f. State B and C(f) explicitly. You may assume that r> 1, ƒ < 1 and f> 0. The value of TR indicates the radius of the outer circle. (b) Find the numerical value for to five significant figures when z = 3 and f = 1/2. xR C(f)x² T²-1 R [6] [1] (a) Find an expression for the angle for which the grey area A, is f times the area of the outer square Ag. Your expression for 8 should take the form: 0=B- where B is a constant and C(f) is a function of f. State B and C(f) explicitly. You may assume that r> 1, ƒ < 1 and f> 0. The value of TR indicates the radius of the outer circle. (b) Find the numerical value for to five significant figures when z = 3 and f = 1/2. xR C(f)x² T²-1 R [6] [1]
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