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.

Answers (1)
D Devendra Khairwa

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.