Question

With $ {O_1} $ and $ {O_2} $ as centres draw two circles of the same radii $ 3\;cm $ and with the distance between the two centres equal to $ 5\;cm$.

Answer 1

Hint: Here radii are given and we are asked to draw circles. Radii are the plural of the term used for the radius to describe the radius of two or more than two circles. Here, to construct the diagram use, the rounder, the scale for the perfect measurement and the pencil. Basically here we are asked to two draw two congruent circles.

Complete step-by-step answer:
The congruent circles are the circles having the same size. Size here is the “radii” but it can be diameter, circumference, area and many more.
Construct with the help of the proper stationary.

As shown in the above figure, first construct the line –segment of the measure $ 5 $ cm.
And at the corners of the line-segment give names to the points as $ {O_1} $ and $ {O_2} $
Now, with the help of the rounder, take measure of the $ 3 $ cm and construct the circles at the points $ {O_1} $ and $ {O_2} $ .
This is the required diagram.

Note: Know the difference between the types of the circles. Concentric circles are the circles with the same centre but different radius. The concentric circles can be drawn as many as one wants, two or more with the same centre but different radius whereas the congruent circles are the circles with the same radius but different centres. Orthogonal circles are the orthogonal curves which cut each other at the right angles.