Question

What is the instrument to draw a circle?
A. Ruler
B. Protractor
C. Divider
D. Compasses

Answer 1

Hint: First we will define what a circle is. Then we will draw the figure of the circle for example, after that we will give the instrument’s name, and then we will define the instrument's name and see how the circle is drawn by that instrument.

Complete step-by-step solution:
First, let’s understand what a circle is. So, a circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the center. Every line which passes through the circle forms the line of reflection symmetry. Also, it has rotational symmetry around the center for every angle. The circle formula in the plane is given as follows:
\[{{\left( x-h \right)}^{2}}+{{\left( y-k \right)}^{2}}={{r}^{2}}\]
Where, $\left( x,y \right)$ are the coordinate points, $\left( h,k \right)$ is the coordinate of the centre of a circle and $r$ is the radius of a circle.

Now, we will see how to draw a circle. First, we will mark a point which we will call as center then we will take the compass in hand, so, a compass is an instrument used to draw circles or the parts of circles called arcs. It consists of two movable arms hinged together where one arm has a pointed end and the other arm holds a pencil.
The compass looks like the following figure:

Now, to draw a circle with a compass using a ruler to set the distance from the point of the compass to the pencil's lead at the given radius. Then we will place the point of the compass at the center of the circle and then we will draw the circle by turning the compass through ${{360}^{\circ }}$.

Note: Always first make sure that the hinge at the top of the compass is tightened so that it does not slip tighten the hold for the pencil so it also does not slip align the pencil lead with the compass's needle press down the needle and turn the knob at the top of the compass to draw a circle (or arc). A ruler is used for drawing a line of a dimension or measuring the distance of a line. A protractor is used for measuring angles and drawing angles. A divider is mainly used for measuring a distance and transferring it as such.