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Circular Fun (Posted on 2005-07-28) Difficulty: 2 of 5
When you draw three circles of radius r such that all three are externally tangent, what is the area of the shape in the center in terms of r?

See The Solution Submitted by Justin    
Rating: 3.2857 (7 votes)

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Some Thoughts re(2): solution..... :) | Comment 10 of 18 |
(In reply to re: solution..... :) by josh_79_97)

Simplify your answer.

The height of an equilateral triangle with base S is (S3)/2, so the area of this particular triangle is 2r(r3)/2 which simplifies to r(3) and since there are 3 slices each 60 (1/6 of 360), then the area subtracted is (3/6)(r) or (r)/2.

The answer is (r(3))-((r)/2)

  Posted by Bret on 2005-08-02 20:37:34
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