bonanova Posted August 16, 2015 Report Share Posted August 16, 2015 A square sits on the diameter of a circle with one corner touching it, as shown. Given the area A of the square and the distance x from its touching edge to the far end of the diameter, find the circle's radius. Quote Link to comment Share on other sites More sharing options...
2 Rob_G Posted August 16, 2015 Report Share Posted August 16, 2015 I'm thinking the length of the radius is .5(x+(y^2)/x).Again I'm posting from my phone as my laptop needs to charge. I'll show my work when I get a chance to plug it in. Quote Link to comment Share on other sites More sharing options...
2 Rob_G Posted August 16, 2015 Report Share Posted August 16, 2015 Oops! In that formula y^2 should be A. I was working stuff out separately and for got to put the sqrt(A) back in. Quote Link to comment Share on other sites More sharing options...
1 JD Posted August 18, 2015 Report Share Posted August 18, 2015 r: radiusr = ( x2 + A ) / 2*x Quote Link to comment Share on other sites More sharing options...
1 CaptainEd Posted August 19, 2015 Report Share Posted August 19, 2015 (edited) I no longer remember whether I ever knew this, but...Since I haven't learned how to send you a picture,Let's name some coordinates:* m = left end of the diameter* n = right end of the x-length segment on the diameter* p = touching corner of the square* q = right end of the diameterand let's name some lengths:* s = sqrt(A), * t = distance from n to qI don't remember whether this is true, butIF the angle formed by mpq is a right angle, thentriangle (mnp) is similar to triangle (npq)andx/s = s/tt = s^2/x = A/xradius = (x + A/x) / 2So, I've caught up with Rob Edited August 19, 2015 by CaptainEd Quote Link to comment Share on other sites More sharing options...
1 NotThatMP Posted August 20, 2015 Report Share Posted August 20, 2015 Radius = (x squared + A)/2x Quote Link to comment Share on other sites More sharing options...
Question
bonanova
A square sits on the diameter of a circle with one corner touching it, as shown. Given the area A of the square and the distance x from its touching edge to the far end of the diameter, find the circle's radius.
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