Represent 
on the number line.
Step 1: Draw a line segment of 9.3 unit. Then, extend it to C so that BC = 1 unit.
Step 2: Now, AC = 10.3 units. Find the center of AC and mark it as O
Step 3: Draw a semi-circle with radius OC and center O
Step 4: Draw a perpendicular line BD to AC at point B intersecting the semi-circle at D. And then, join OD
Step 5: Now, OBD is a right angled triangle
Here, OD = 10.3/2 (Radius of semi-circle)
OC = 10.3/2
BC = 1
OB = OC – BC
= (10.3/2 - 1)
= 8.3/2
Using Pythagoras theorem,
OD2 = BD2 + OB2
(
)2 = BD2 + (
)2
BD2 = (
)2 - (
)2
BD2 = (
– 
) (
+ 
)
BD2 = 9.3
BD= 
Thus, the length of BD is 
Step 6: Taking BD as radius and B as the center, construct an arc which touches the line segment.
Now, the point where it touches the line segment is at a distance of 
from O as shown in the figure below
