# Pagans

Elena cut out same circle-shaped pagans and put them on a rectangular sheet so that the neighboring pagans were touching each other and the pagans were touching the walls of the sheet on the edges. Each pagans occupied 28.26 cm2 of the bottom of the sheet. What dimensions does the bottom of the sheet have? (Calculate with π = 3,14.)

Result

a =  30 cm
b =  18 cm

#### Solution:

$S = 28.26 \ cm^3 \ \\ r = \lceil \sqrt{ S/\pi } \rceil = \lceil \sqrt{ 28.26/3.1416 } \rceil = 3 \ cm \ \\ D = 2 \cdot \ r = 2 \cdot \ 3 = 6 \ cm \ \\ 15 = 5 \cdot \ 3 \ \\ a = 5 \cdot \ D = 5 \cdot \ 6 = 30 = 30 \ \text{ cm }$
$b = 3 \cdot \ D = 3 \cdot \ 6 = 18 = 18 \ \text{ cm }$

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