Is the following statement true? Give reasons for your answer.
Area of a segment of a circle $=$ area of the corresponding sector $-$ area of the corresponding triangle.
Area of a segment of a circle $=$ area of the corresponding sector $-$ area of the corresponding triangle.
(B) The statement is not universally true. It is only true for a minor segment.
For a minor segment,the area is calculated by subtracting the area of the triangle formed by the chord and the radii from the area of the corresponding sector.
However,in the case of a major segment,the area of the triangle must be added to the area of the corresponding sector to obtain the total area of the major segment.
For a minor segment,the area is calculated by subtracting the area of the triangle formed by the chord and the radii from the area of the corresponding sector.
However,in the case of a major segment,the area of the triangle must be added to the area of the corresponding sector to obtain the total area of the major segment.
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