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Bolt material shear stress = 225N/mm^2

Factor of safety = 2

Hi, I'm chris, i'm an aeronautical engineering student and i'm a little puzzled by a step in the above problem. I don't understand why I have to figure out the bolt area then reverse the step in the following calculation. I'm really just looking for some clarity, y'know, someone to say "yeah, that's correct". Any help appreciated, my work is below.

Working stress = 225N/mm^2 ÷ 2 = 112.5N/mm^2

Torque = Force*Radius => Force = Torque÷Radius

= 10*10^3÷0.1

= 10*10^4 kN

Stress=Force÷Area => Area = Force÷Stress

= 10*10^4÷112.5

= 888.8mm^2

Bolt area = 888.8÷3

= 296.2mm^2

Diameter = √(3*296.2 ÷ ᴨ)

= 16.81mm

= 17mm