SOLUTION: I'd like to solve the below equation for r(s). s^2/2 = s*sqrt(r^2-s^2/4) + r^2/2 * (PI-2*arccos(s/(2*r))-sin(PI-2*arccos(s/(2*r))))

Algebra ->  Trigonometry-basics -> SOLUTION: I'd like to solve the below equation for r(s). s^2/2 = s*sqrt(r^2-s^2/4) + r^2/2 * (PI-2*arccos(s/(2*r))-sin(PI-2*arccos(s/(2*r))))      Log On


   

Question 23063: I'd like to solve the below equation for r(s).
s^2/2 = s*sqrt(r^2-s^2/4) + r^2/2 * (PI-2*arccos(s/(2*r))-sin(PI-2*arccos(s/(2*r))))
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
I'd like to solve the below equation for r(s). 
s^2/2 = s*sqrt(r^2-s^2/4) + r^2/2*(PI-2*arccos(s/(2*r))-sin(PI-2*arccos(s/(2*r))))

When a variable appears both inside and outside the argument of a
transcendental function (such as trigonometric or logarithmic) then 
that variable cannot be solve for algebraically.  However for any
given value of s, r can be gotten by iterative means.

Edwin
AnlytcPhil@aol.com