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moneybird Group Title

Two different circles that pass through the point (1,3) are tangent to both coordinate axes. If the length of the radius of the smaller circle is "r" and the length of the radius of the larger circle of "R", what is the value of "r+R"?

  • 2 years ago
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  1. moneybird Group Title
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    |dw:1324082546573:dw|

    • 2 years ago
  2. Diarmuid_Wrenne Group Title
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    trick is that the x and y values of the centers of the circles are the same and are also the same as the radii of the respective circles so (x-r)^2 +(y-r)^2 = r^2 stick in the know point (1-r)^2 = (3-r)^2 = r^2 0 = r^2 -8a +10 solve and r = (8 +-sqrt(24))/2 so r = 6.45 and 1.55 or so so r + R = 8 now I see why they asked for teh sum of the radii. It means you can ignore the sqrt ANS = 8

    • 2 years ago
  3. Diarmuid_Wrenne Group Title
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    the line above is wrong. should read (1-r)^2 + (3-r)^2 = r^2

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