Question

Define circle segment and sector of a circle.

Answer 1

Hint: In this question we have to define the segment of a circle and the sector of a circle. Defining means the complete explanation of the topic. A detailed explanation of segment and sector of a circle. We explain the segment and sector of a circle by considering the diagram.

Complete step-by-step answer:
(1) Segment of a circle:
A segment of a circle is defined as a region bounded by the chord and the corresponding arc lying between the endpoints of the chord. In other words, we can define it as a region of a circle, by breaking the circle through a secant of chord. We can also define it as the parts divided by the circle’s arc and connected through the chord by the endpoints of the chord.
                             

The above figure represents the segment of a circle, here AB is the chord which divides the circle.
In the segment of circle, we have two types and they are
(i) Major segment
(ii) Minor segment.
It is defined as
(i) Major segment: The segment which is having a larger area.
(ii) Minor segment: The segment which is having a smaller area.
The below figure represents the major and minor segment.
Yellow part is the major segment and the green part is minor segment.

                        

(2) Sector of a circle:
A sector of a circle is defined as a part of a circle arc, where the end points of the arc are joined to the midpoint of the circle. It is also defined as the part of the circumference(arc) and radii of the circle at the end points of the arc. It looks like a slice of pizza.
                              

The above figure represents the sector of a circle. Here AB is the arc. The coloured part is called the sector.

Note: Define means a detailed explanation of the given topic. By drawing the diagram, we can easily understand the concept very neatly and easily. The segment and sector of a circle is the part of the circle and these things should be known to understand some properties which come under the concept of circle.