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The Circle

Circle and their Attributes

Circle is a simple closed curve and it can be defined as follows:

A circle is the locus of points in a plane which are equidistant from a fixed point in the same plane. 

The fixed point is called centre of the circle and distance (constant distance) of each point from centre is called radius of the circle.

A circle exhibits various interesting properties which make it a special geometric figure.

Let us discuss the same. 

Minor and major arc: 

An arc less than one-half of the entire arc of a circle is called the minor arc of the circle, while an arc greater than one-half of the entire arc of a circle is called the major arc of the circle.

Semicircular arc:

Diameter of a circle divides it into two congruent arcs. Each of these arcs is known as semicircular arc.

In the above figure, PQ is diameter which formed semicircular arcs PBQ and PAQ.  

Secant:

A line that meets a circle at two points is called the secant of the circle.

Look at the following figure.

In the figure, a line l intersects the circle at two points i.e., A and B. This line is called the secant to the circle.

Tangent:

A line that meets a circle at one and only one point is called a tangent to the circle. The point where the tangent touches the circle is called the point of contact.

Consider the following figure.

What do you observe in this f…

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