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High School Mathematics - 2
8.12 Construction of a Tangent to a Circle


  1. Step 1: Draw any chord PQ of the circle through P as shown.
  2. Step 2: Take any point R on the major arc PQ. Join PR and QR.
  3. Step 3: COnstruct angle OPX equal to angle PRQ.
PX is the required tangent at P.

Steps to construct a tangent to a circle from an external point

Construction of Direct common tangents to 2 circles of equal radii whose centers are at a given distance from each other

Construction of Direct common tangents to 2 circles of different radii

Construction of tranverse tangents


Directions: Construct tangents to the following.
Q 1: Construct a tangent to a circle of radius 2cm from a point 5cm away from the center
Answer:

Q 2: Draw direct common tangents to 2 circles of radii 2cm whose centers are 5cm apart.
Answer:

Q 3: Construct direct common tangents to 2 circles of radii 3cm and 2cm whose centers are 6.5cm apart.
Answer:

Q 4: Construct transverse common tangent to circles of radii 2cm and 1 cm whose centers are 5.5 cm apart
Answer:

Q 5: Draw direct common tangents to 2 circles of radii 4cm whose centers are 5cm apart.
Answer:

Q 6: Draw direct common tangents to 2 circles of radii 6cm whose centers are 5cm apart.
Answer:

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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