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August 28, 2014

August 28, 2014

Posted by **Rox** on Wednesday, February 13, 2013 at 11:52am.

- maths -
**Steve**, Wednesday, February 13, 2013 at 12:42pmDraw lines joining the centers of the circles. That is an equilateral triangle with side 10.

Area of triangle is 1/2 * 5 * 5√3 = 25/2 √3

Now, the angles of the triangle are all π/3, so, since the area of a sector of a circle is a = 1/2 r^2 θ, each sector has area 1/2 * 25 * π/3 = 25/6 π

So, the area in between all the circles is the area of the triangle, less the total area of the 3 sectors.

I think you can take it from here.

- maths - correction -
**Steve**, Wednesday, February 13, 2013 at 12:43pmOops. I was thinking diameter of 10, not radius. Adjust calculations accordingly.

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