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))))

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

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) (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

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