|Mar9-12, 09:16 AM||#18|
No One Has Been Able to Answer This
The idea is to form a triangle whose vertices are the circles' center points. Calculate the area of the triangle and subtract the sector/pie area of each circle.
Assume the circles have radii of r1, r2, and r3.
You can position one circle at the origin p1(0, 0), the second will be at p1(r1 + r2, 0) and the trick is to find the position of the third circle p3(a, b) which is left as exercise. Now using the three positions, you can use the vectors [p1, p2], [p1, p3], ... to calculate the angles of each sector, which is then used to calculate the area of the sector.
|circles, formula, math, problem, three circles|
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