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


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