Exploring External Tangents of Circles

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Discover the construction process of external tangents between two circles, starting from identifying the smaller circle's radius to bisecting lines connecting the point to the circle. Learn how to construct a semi-circle with specified diameters and more.


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  1. Tangents Tangents An external tangent of two circles

  2. Draw on the whiteboard what you think an Draw on the whiteboard what you think an EXTERNAL tangent would look like EXTERNAL tangent would look like KEYWORDS KEYWORDS

  3. Take the radius of the smaller circle KEYWORDS: KEYWORDS: External External Radius Radius

  4. Add the smaller radius to the bigger circle = = = = KEYWORDS: KEYWORDS: External External Radius Radius

  5. For external tangents always subtract the small circles radius from the bigger circles radius. This is so you are now constructing a tangent from a point to a circle = = KEYWORDS: KEYWORDS: External External Radius Radius

  6. Now that the smaller circle has been reduced to a point, join that point to the centre of the new circle (same) KEYWORDS: KEYWORDS: External External Radius Radius

  7. Bisect line that joins the point to the circle KEYWORDS: KEYWORDS: External External Radius Radius Bisect Bisect

  8. Bisect line that joins the point to the circle KEYWORDS: KEYWORDS: External External Radius Radius Bisect Bisect

  9. Bisect line that joins the point to the circle KEYWORDS: KEYWORDS: External External Radius Radius Bisect Bisect

  10. Construct a semi-circle with the diameter from the centre of the circle to the point P KEYWORDS: KEYWORDS: External External Radius Radius Bisect Bisect Diameter Diameter

  11. Always construct a triangle in the semi-circle with the diameter as the base and apex where the circle intersects the semi-circle. KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Bisect Bisect Diameter Diameter

  12. Always construct a triangle in the semi-circle with the diameter as the base and apex where the circle intersects the semi-circle. KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Bisect Bisect Diameter Diameter

  13. Transfer the tangent out parallel and extend the normal KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Diameter Diameter

  14. Transfer the tangent out parallel and extend the normal KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter

  15. Find other POC by constructing a line at 90 degrees to the tangent through the centre KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter

  16. POINT OF CONTACT POINT OF CONTACT EXTERNAL TANGENT NORMAL NORMAL KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter

  17. POINT OF CONTACT POINT OF CONTACT EXTERNAL TANGENT NORMAL NORMAL KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter

  18. Lets try a question Let s try a question Example 1: pg 188 Understanding Technical Graphics KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter

  19. Lets try another one Let s try another one Question 1: pg 189 (Soap Dispenser) Understanding Technical Graphics KEYWORDS: KEYWORDS: External Base Base External Apex Apex Radius Radius Parallel Parallel Bisect Bisect Point of Contact Point of Contact Diameter Diameter

  20. Lets make definitions for our keywords Let s make definitions for our keywords External External Radius Radius Bisect Bisect Diameter Diameter Base Base Apex Apex Parallel Parallel Point of Contact Point of Contact

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