Q10 of 30 Page 629

Draw two concentric circles of radii 4 cm and 6 cm. Construct a tangent to the smaller circle from a point on the larger circle. Measure the length of this tangent.

Steps of Construction:


1. With O as a center, draw a circle of radius of 4cm and another circle of radius 6cm.



2. Mark any point A on the bigger circle.


3. Join OA. Draw perpendicular bisector of OA.


4. The perpendicular bisector XY of OA intersects OA at B.



5. With B as center and radius of length OB (or BA), draw a circle.


6. This circle intersects the smaller circle(of radius 4cm) at P and Q.



7. Join AP and AQ.


8. Then AP and AQ are the required tangents.



9. The measured length of AP and AQ is 4. 4cm (approximately).


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