Question

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.

Answer 1

Step1: Draw circle of radius 6cm with center A, mark point C at 10 cm from center

Step 2: find perpendicular bisector of AC

Step3: Take this point as center and draw a circle through A and C

Step4: Mark the point where this circle intersects our circle and draw tangents through C

Length of tangents = 8 cm 

AE is perpendicular to CE (tangent and radius relation) 

In ΔACE 

AC becomes hypotenuse 

AC² = CE² + AE² 

10² = CE² + 6² 

CE² = 100 - 36 

CE² = 64 

CE = 8 cm