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Fun Problem: Area of Overlapping circles

  1. Oct 25, 2004 #1
    Picture two indentical circles with their radii overlapping. They form an intersection, what is the area of their intersection?

    I solved it the calculus route and it can be solved geometrically. Have fun.
  2. jcsd
  3. Oct 25, 2004 #2


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    Use the cosine rule to find the two subtended angles. From these you can find the areas of the sectors as well as the triagles subtended at the centers. Subtracting, gives the ares of the two caps (segments?). Add these areas to find the area of intersection.
  4. Oct 25, 2004 #3
    Please elaborate?
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