2. Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.
Steps of constructions :-
(i) Taking point O as a centre draw a circle of radius 4 cm.
(ii) Now taking O as centre draw a concentric circle of radius 6 cm.
(iii) Taking any point P on the outer circle, join OP.
(iv) Draw a perpendicular bisector of OP.
(v) Name the intersection of bisector and OP as O'.
(vi) Now, draw a circle taking O' as centre and O'P as radius.
(vii) Name the intersection point of two circles as R and Q.
(viii) Join PR and PQ. These are the required tangents.
(ix) Measure the lengths of the tangents. PR = 4.47 cm and PQ = 4.47 cm.
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