Q19 of 49 Page 1

Construct a tangent to a circle of radius 4 cm from appoint on the concentric circle of radius 6 cm.

Step of construction:


1. Draw a circle of 4 cm radius with center as O. Draw a circle of 6 cm radius taking O as its center. Locate a point P on the outer circle and join OP.


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2. Bisect OP. Let M be the mid-point of OP.


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3. Taking M as its center and OM as its radius, draw another circle intersecting the smaller circle at A and B and touching the bigger circle at P.


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4. Join PA and PB.


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PA and PB are the required tangents.


By Measurement,


PA = PB = 4.5 cm


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