Draw a circle of radius \(4 \ cm\). At a point \(L\) on it draw a tangent to the circle using the alternate segment.
 
Construction:
 
YCUZD_231026_5683_TN10_geo_38.png
 
Step 1: With \(O\) as the centre,
 
Step 2: Take a point \(L\) on the circle. Through \(L\)
.
 
Step 3: Take a point \(N\) distinct from \(L\) and \(M\) and \(N\) are in anti-clockwise direction.
 
Step 4: Through \(L\)
such that
 
Step 5:
is the required tangent.
Answer variants:
\(\angle TLM = \angle MNL\).
draw any chord \(LM\).
draw a tangent \(TT'\).
draw a circle of radius \(4 \ cm\).
\(TT'\)
Join \(LN\) and \(NM\).