Question

With $\overline{PQ}$ of length $6.1$ cm as diameter, draw a circle.

Answer 1

Hint: We have to draw a circle whose $\overline{PQ}$ of length $6.1$ cm acts as diameter. The only thing that is given for drawing the circle is the length of its diameter. We bisect the diameter to find the centre point and then using the centre and one endpoint we draw the circle.

Complete step by step answer:
We describe the process of drawing the circle with step-by-step explanation.
Step: 1
We take the length of $6.1$ for the diameter $\overline{PQ}$. The two end-points of the diameter is P and Q.
Using the ruler, we draw the line segment of $\overline{PQ}=6.1$.
Step: 2
We now try to bisect the line segment $\overline{PQ}$.
We take a length more than half of $\overline{PQ}$ in the compass and then draw two arcs on both sides of the line from both the points P and Q.
The arcs cut each other at point M and N. The connecting line MN intersect the line $\overline{PQ}$ at O which is the mid-point of $\overline{PQ}$.
Step: 3
We take the length of PO or OQ as the radius and draw the circle using compass.

Note: We have to be careful about taking the arc length greater than half of $\overline{PQ}$ and less than $\overline{PQ}$. In the time of drawing geometrical figures, we can’t make the lines too thick as the points can’t be a circle figure.