Monday, July 1, 2013

Common Tangents - Circles with Equal Radius

A. External Tangents
Draw the given circles with centres A and B
  • Draw a line segment joining A and B
  • At A and B construct perpendiculars to AB on its same side to intersect given circles at D and E.
  • Draw a line joining D and E. This line is the required tangent. FG is the other tangent, which can be drawn similarly.
B. Internal Tangents
Draw the given circles with centres P and Q
  • Draw a line segment joining P and Q.
  • Bisect PQ at O. Draw a circle with OP as diameter to cut the circle at M and R.
  • With centre O and radius OM , draw a circle to cut the other circle at S and N.
  • Draw line through M and N. This is the required tangent.
  • Similarly , draw a line through R and S , which is the other required tangent.
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

1 comment:

  1. Hi Sanjay,

    Do you see the applet in your site? I can't see it here.

    ReplyDelete