Q10 of 805 Page 13

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. Draw two concentric circles C1 and C2 with common center O and radius 4 cm and 6 cm.



2. Take any point P on the outer circle C2 and join OP.



3. Draw bisector of OP which bisects OP at M.



4. Taking M as center and OM as radius, draw a dotted circle which cuts the inner circle C1 at two points Q and R.



5. Join PQ and PR. PQ and PR are the required tangents.



On measuring PQ and PR,


⇒ PQ = PR = 4.4 cm


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