A problem by Geet Singh

Level pending

Sheela was presented with a cake and she wants to obtain the maximum number of pieces with a certain number of straight line slices. If she uses one line slice, she will get 2 pieces. Two slices will give her 4 pieces, but if she wants the maximum number of pieces, the third slice should avoid the intersection of first two slices. If Sheela was presented with a cake of radius 10 cm, and she cuts the maximum number of pieces, using 8 straight line slices, then the number of pieces will be

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