Is it true to say that area of a segment of a circle is less than the area of its corresponding sector? Why?
Area of the corresponding sector :
We know that there are two types of segments.
Minor segment: For the minor segment, the area of the segment of the circle is always less than the area of its corresponding sector.
Major segment: For the major segment, the area of the segment of the circle is always greater than the area of its corresponding sector.
We can see that the given statement is not always true.
Hence the given statement is false.