Radius Problem #4 Image | Posted on March 22, 2017 by solvemymaths Share this:TwitterFacebookLike this:Like Loading... Related

Lovely. I solved with conics, but I’d love to find a more geometric solution. Here’s some GeoGebra I made for it: https://www.geogebra.org/m/Xtbv2QS3 Reply

13.5 is correct,before that I thought the diameter is 6,after chalking again I red the radius is 6 Reply

I think its because where the circles touch, they share a common tangent. The normal to this tangent would pass through the centre of each circle (as a radius and tangent meet at 90°). Reply

I concur with previous answers that 2answer is 27/2 and that you know it a straight line due to a common tangent. Reply

27/2

Lovely. I solved with conics, but I’d love to find a more geometric solution. Here’s some GeoGebra I made for it: https://www.geogebra.org/m/Xtbv2QS3

Reblogged this on Mathematik mit CAS Maxima und Geogebra and commented:

Kreis und Rechteck

I used GCSE Pythagoras and got same answer!

answer is 27/2

17.01

13.5 is correct,before that I thought the diameter is 6,after chalking again I red the radius is 6

How can we be sure the hypotenuse will go through the intersection point of both circles?

I think its because where the circles touch, they share a common tangent. The normal to this tangent would pass through the centre of each circle (as a radius and tangent meet at 90°).

Radius 1 = 12.875

I concur with previous answers that 2answer is 27/2 and that you know it a straight line due to a common tangent.