Question

Draw an equilateral triangle of side $4cm$. Draw its circumcircle.

Answer 1

Steps of construction:-

1. Draw a line segment $BC=4cm$
   
2. With $B$ as centre and radius of $4cm$, draw an arc.
   
3. Similarly, with $C$ as centre and radius of $4cm$, draw another arc to intersect the previous arc at $A$.
   
4. Join $AB$ and $AC$.
   
5. $ABC$ is the required equilateral triangle.
   
6. Draw the perpendicular bisector of the sides of the triangle.
   
7. Mark the point of intersection of the perpendicular bisectors as '$O$' which is called the circumcentre of the triangle.
   
8. With '$O$' as centre, $OA$ or $OB$ or $OC$ as radius, draw a circle passing through $A,B$ and $C$.
   

Hence the circumcircle of the equiateral triangle is constructed.