A single$-$turn circular loop has a radius of $30$ cm $,$ it is placed in a magnetic field of $B=3\mathrm{.}4T$ which is perpendicular to the plane of the loop, see the figure below. The loop is reshaped into a perfect square without stretching the length of the loop. It takes $0\mathrm{.}59$ s to reshape the loop. What is the magnetic flux through the loop before and after it is reshaped?

B

The initial flux, ${}_i=$ Units Select an answer $.$

$$

The final flux, ${}_f=$ Unit $$

What is the magnitude of the average induced emf in the loop during the reshaping process?

The induced emf, Emf $=$ Units Select an answer $.$