Question

The circumference of an ellipse is approximated by…

Answer 1

9514 1404 393

Answer:

see attached

Explanation:

To solve for b, undo what is done to b.

`\displaystyle C=2\pi\sqrt{(a^2+b^2)/(2)}\\\\(C)/(2\pi)=\sqrt{(a^2+b^2)/(2)}\\\\\left((C)/(2\pi)\right)^2=(a^2+b^2)/(2)\\\\(C^2)/(2\pi^2)=a^2+b^2\\\\(C^2)/(2\pi^2)-a^2=b^2\\\\\boxed{b=\sqrt{(C^2)/(2\pi^2)-a^2}}`