Multiple choice

If angle subtended by a chord on the major arc of a circle is (55^\circ), then what will be the angle subtended by the same chord on the centre of the circle?

  1. $\(125^\circ\)$
  2. $\(140^\circ\)$
  3. $\(135^\circ\)$
  4. $\(110^\circ\)$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For any chord, the angle at the center is twice the angle at the circumference standing on the same arc. Since the angle on the major arc is 55°, the reflex angle at the center = 2 × 55° = 110°.

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