how many circles of radius 7cm can be cut from a rectangular sheet of length 50cm and width 32cm?

Width of the rectangular sheet = 32 cm

So area of rectangular sheet = $50\times 32=1600{\mathrm{cm}}^{2}$

Radius of each circle = 7 cm

So area of each circle = ${\mathrm{\pi r}}^{2}=\frac{22}{7}\times {7}^{2}=154{\mathrm{cm}}^{2}$

So number of circles from a rectangular sheet = $\frac{\mathrm{area}\mathrm{of}\mathrm{rectangular}\mathrm{sheet}}{\mathrm{area}\mathrm{of}\mathrm{each}\mathrm{circle}}=\frac{1600{\mathrm{cm}}^{2}}{154{\mathrm{cm}}^{2}}=10.38$

Therefore the number of circles that can be cut from the rectangular sheet is 10.

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