Draw a circle in which a chord of \(6 \ cm\) length stands at a distance of \(3 \ cm\) from the centre.
 
(Hint: Is it a circumcircle of a suitable triangle?)
 
Construction:
 
Step -1:
 
cons_4_1.PNG
 
Step -2:
 
cons_4_2.PNG
 
Step -3:
 
cons_4_3.PNG
 
Step - 4:
 
cons_4_4.PNG
 
Step -5:
 
cons_4_5.PNG
 
Therefore, the circle in which a chord of \(6 \ cm\) length stands at a distance of \(3 \ cm\) from the centre is a circumcircle of the .