Draw the two tangents from a point which is \(5 \ cm\) away from the centre of a circle of diameter \(6 \ cm\). Also, measure the lengths of the tangents.
Construction:
Step 1: With \(O\) as the centre, draw .
Step 2: Draw .
Step 3: Draw , which cuts \(OP\) at \(M\).
Step 4: With \(M\) as centre and \(MO\) as radius, draw .
Step 5: Join \(AP\) and \(BP\). \(AP\) and \(BP\) are the required tangents. Thus, length of the tangents are \(PA = PB =\) \(\ cm\).
Answer variants:
\(4\)
a perpendicular bisector of \(OP\)
a circle which cuts previous circle at \(A\) and \(B\)
line \(OP\) of length \(5 \ cm\)
a circle of radius \(3 \ cm\)
\(6\)