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How big would the radius of the red circle be if the white's radius was 1 cm?
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A regular polygon with a circle in each Edge with the diameter equal to the side of the polygon. How big circle can we get in the center so it tangent to the rest of the circles? the sum of the angels is (E-2) × 180, then every angel in the polygon is (E-2) × 180/E to get a right triangle can we divide it with 2 so is (E - 2) × 180 / 2 × E, the hypotenuse is R/cos θ or R r so: r=(R / cos (( E - 2 ) × 90 / E)) - R
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