Question

Which of the below statements are correct?

• A. Area of the major segment is always greater than that of semicircle of the same circle
• B. Minor segment is formed by the chord of length less than the diameter and the minor arc.
• C. Major segment is formed by the chord of length greater than diameter and the major arc.
• D. When the chord is drawn to the circle, it divides the circle into two segments i.e. major and minor.

Answer 1

Answer: (A), (B), (D)

When the chord is drawn to the circle, it divides the circle into two segments i.e. major and minor.

We know when chord is drawn to the circle, the circle is divided into two parts one is major segment and other is minor segment.
Major segment is always greater than semicircle so it will have area greater than semicircle.

Also major and the minor segments both are made by the chord which is less than diameter of the circle. Chord cannot be greater than or equal to the diameter in length. If chord is equal to diameter of the circle then it will form equal semicircular segments.

Hence, statement third is wrong and all other statements are correct.