Q4 of 11 Page 98

Draw a circle of radius 3.3 cm Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your observation about the tangents.

Here chord = 6.6 = 2 × 3.3 cm = 2 × radius, hence PQ is diameter of the circle.


Steps of construction:


i. Draw a circle with center O, and radius 3.3 cm



ii. Draw a diameter PQ passing through center.



iii. Draw AB ⊥ OQ and CD ⊥ OP , such that AB and CD pass through Q and P respectively.



iv. AB and CD are required tangents.


Observation: AB || CD, i.e. tangents at opposite ends of diameter are parallel.


More from this chapter

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Draw a circle of radius 3.6 cm. Draw a tangent to the circle at any point on it without using the centre.

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