A single$-$turn circular loop has a radius of $5$ cm $,$ it is placed in a magnetic field of $B=3\mathrm{.}5T$ which is perpendicular to the plane of the loop, see the figure below. The loop is reshaped into an equilateral triangle without stretching the length of the loop. It takes $0\mathrm{.}265$ to reshape the loop. What is the magnetic flux through the loop before and after it is reshaped?

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

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The final flux, ${}_f=$ Units Select an answer $vv.$

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

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

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