Question

Construct a tangent to a circle of radius 4cm from a point on the concentric circle of radius 6cm and measure it's length. Also verify the measurement by actual calculation.​

Answer 1

Answer:

(1)Draw two concentric circle C1 and C2 with common center

0 and radius 4cm and 6cm

(2) Take a point P on the outer circle C2 and join OP.

(3) Draw the bisector of OP which bisect OP at M'.

(4) Taking M' as center and OM' as radius draw a dotted circle which

cut the inner circle C1 at two point M and P.

(5) Join PM and PP'.  Thus, PM and PP' are required tangent.

On measuring PM and PP'.

PM=PP′=4.4cmBycalculation:InΔOMP,∠PMO=900PM2=OP2−OM2(bypythagorastheorem)PM2=(6)2−(4)2=36−16=20PM2=20cmPM=20=4.4cmHence,thelengthofthetangentis4.4cm