Question

Define the terms sector and segment of a circle.

Answer 1

Hint: The area of the region bounded by an arc of a circle and the chord which is subtended by this arc is called the segment of the circle while the area bounded by the arc and the lines joining the centre of the circle to the end points of the arc is called the sector.

Complete step by step solution:
Let us start with the definition of a segment first. : The area of the region bounded by an arc of a circle and the chord which is subtended by this arc is called the segment of the circle. This can be represented in a figure as:
 

Here the yellow region is the major segment and the green colored region is the minor segment.
Now let us move to the sector of a circle. The area bounded by the arc and the lines joining the centre of the circle to the end points of the arc is called the sector. This can be represented in as figure as:

Here the yellow region is the major sector and the green colored region is the minor sector.

Note: Remember if you subtract the area of the segment from the sector having the same arc, you will end up with the area of the triangle formed by joining the centre and the end points of the arc. This relation between areas is very helpful because this is the only medium of finding the area of the sector.