• anonymous
three circles with centers A, B and C have respective radii 50, 30 and 20 inches and are tangent to each other externally. Find the area in (in^2) of the curvilinear triangle formed by the three circles
  • Stacey Warren - Expert
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  • schrodinger
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  • phi
I can see how to do it tediously you know all three sides of a triangle formed by connecting the centers. use heron's formula to find the area of the triangle. you can find all three angles (use Law of cosines and Law of sines) once you know the angles, you can find the area of each sector the area you want is area of triangle - sum of sectors
  • IrishBoy123
  • phi
fyi, here is what the strategy comes up with
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