Solve for k
k=\frac{2}{\pi }-\frac{1}{2}\approx 0.136619772
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4=\pi +2\pi k
Multiply both sides of the equation by 2.
\pi +2\pi k=4
Swap sides so that all variable terms are on the left hand side.
2\pi k=4-\pi
Subtract \pi from both sides.
\frac{2\pi k}{2\pi }=\frac{4-\pi }{2\pi }
Divide both sides by 2\pi .
k=\frac{4-\pi }{2\pi }
Dividing by 2\pi undoes the multiplication by 2\pi .
k=\frac{2}{\pi }-\frac{1}{2}
Divide 4-\pi by 2\pi .
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