Cosine Rule Help: Solving the Cut Size of a Curved Bar

[Con Air]

Homework Statement

Hello! I've run into a problem at work and need a quick solution! Basically I need to work out the cut size of a curved bar. I have the chord length (650mm) and the radius' (1335mm) Obviously i need to calculate the inner most angle, then multiply my diameter by pi, divide by 360 then multiply by my new found angle to find arc length

Homework Equations

Cosine rule A=b$^{2}$+c$^{2}$-a$^{2}$$/$2bc

C=∏d

The Attempt at a Solution

obviously c and b are both equal at 1335mm. so the triangle becomes isosceles


Arc length = ∏x2670/360 x (1335$^{2}$+1335$^{2}$- 650$^{2}$/2x1335x1335)$^{cos-1}$

this equation leaves us at 28.17°

then (2670x∏/360)x28.17=656mm


Only 6mm gain on the arc? is this normal? please help!


many thanks, connor.

 

[LawrenceC]

I get 656.6 mm. You did it correctly.

 

[Con Air]

thanks very much, I've never applied that sort of trigonometry to my work before, i was abit unsure! thanks very much for your help.