Question

4. 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.
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Answer 1

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.