Question

draw a circle of radius 6cm.from a point 10cm away from its centre, construct the pair of tangents to the circle and measure their length .verify by actual calculation​

Answer 1

Answer:

Answer

Construct a circle with radius =6cm and centre be C

Locate a point A which is 10 cm from C

Then find the perpendicular bisector of line joining points C and A. lets say the mid point will be M.

Now draw an 'another circle with centre at M and radius =6cm(

2

CA

) and lets say this circle cuts the previous circle at

points N and Q then draw the lines AB and AN which are our external tangents.

Sinces △CSA is right angle triangle at L.S=90

o

Therefore using pythagoras theorem

(CQ)

2

+(SN)

2

=(CA)

2

(10)

2

−(6)

2

=(QN)

2

QN=8cm is the length of the tangent.