Utsav's Pizza Party

We'll make $first$ cut in the pizza and we'll get $2$ pieces.Now, we'll make our $second$ cut intersecting the $first$ cut. We'll se that we have a total of $4$ pieces, $2$ in addition to the $2$ pieces we got after our first cut. Similarly, we'll make another cut intersecting the previous $2$ cuts made earlier and get $3$ more pieces to get a total of $7$ pieces and so on.. As a result, after $8$ cuts we will get $\boxed{37}$ pieces.

There is an alternate formula for calculating the no. of pieces and it is as follows: $\boxed{\frac{n^2+n+2}{2}}$ where $n$ are the no. of cuts made.