Q. 14.3( 223 Votes )

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 :

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 = 8cm


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 = 8cm

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses