SOLUTION: Consider the floor tile below. https://roseacademies.owschools.com/media/g_geo_ccss_2016/11/geo_10a_17_13-_floor_tile.gif The surface inside the circles will be painted green

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Consider the floor tile below. https://roseacademies.owschools.com/media/g_geo_ccss_2016/11/geo_10a_17_13-_floor_tile.gif The surface inside the circles will be painted green      Log On

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Question 1105294: Consider the floor tile below.
https://roseacademies.owschools.com/media/g_geo_ccss_2016/11/geo_10a_17_13-_floor_tile.gif
The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio of green paint to white paint you will need to paint these tiles?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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The ratio is


%28%28pi%2A%28d%2F2%29%5E2%29%29%2F%28%28d%5E2-pi%2A%28d%2F2%29%5E2%29%29 = %28%28pi%2F4%29%29%2F%28%281-pi%2F4%29%29 = pi%2F%284-pi%29 = 3.66 (approximately)

where d is the diameter of any circle = the side length of the corresponding square in the figure.