I'm not a native english speaker, so I hope that I got this question right.
You could go two different ways
First: \(\frac{360}{60} = 6\)
this means your sector is 1/6 of the whole circle.
So \(\frac{616cm^2}{6} = 102.67cm^2 \)
Second way:
\(A = \pi r^2 \\ r = \sqrt{\frac{A}{\pi}}\\ r = 14cm \)
Angle of sector = (A*360) / Pi * r^2
\(Angle \ of \ sector = \frac{(A \cdot 360)}{\pi r^2}\)
which makes
\( A = \frac{Angle \ of \ sector \cdot \pi \cdot r^2 }{360} \\ A = 102.63cm^2\)
The difference between both is because rounding, you can use arbitrary precision when doing it yourself.
