Hello, snigdha!
Draw a circle of radius 4 cm and mark two chords $\displaystyle AB$ and $\displaystyle AC$
. . of lengths 5 cm and 6 cm, respectively.
Construct the locus of the points that are equidistant from the points $\displaystyle A,B, C.$ Code:
* * * B
* ∆
* o *
* o *
o
A ∆ *
* o *
* o *
o
* ∆
* * C
* *
* * *
Construct the perpendicular bisector of $\displaystyle AB.$
Construct the perpendicular bisector of $\displaystyle AC.$
They will intersect at point $\displaystyle P$, the center.
Point $\displaystyle P$ is the desired locus.
Think about it . . .
We want all points equidistant from three given points. $\displaystyle A,B,C.$
Hence, we want the circumcenter of $\displaystyle \Delta ABC.$