Social distancing guidelines state that we must stay a minimum of 6ft away from each other. How many circles with a 3ft radius could fill a 100 square foot (10ft x 10ft) space without overlap?
*Tip*
Area of a Circle = π r where r=radius

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

, where r be the radius of the circle.

Now,

Putting, r = 3 and π = 3.14 we get,

sq ft

or, 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.

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