Given:
The radius of each small circle = 3 ft
The area of the given space = 100 ft
To find the number of circles could fill the space of 100 ft.
Formula
The area of a circle is
[tex]A = \pi r^{2}[/tex], where r be the radius of the circle.
Now,
Putting, r = 3 and π = 3.14 we get,
[tex]A = (3.14)(3^{2} )[/tex] sq ft
or, [tex]A = 28.26[/tex] sq ft
So, the area of each circle is 28.26 sq ft
Now,
Number of circles that could fill into the given space = 100÷28.26
= 3.53≈3
Hence,
3 circles with radius 3 ft could fill a 100 sq ft space without overlap.
