Multiple choice

If the angle subtended by a chord on the major arc of a circle is 55 degrees, then what will be the angle subtended by the same chord on the centre of the circle?

  1. 125 degrees

  2. 140 degrees

  3. 135 degrees

  4. 110 degrees

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The angle subtended by a chord at the center is twice the angle subtended by it on the major arc. 2 * 55 = 110 degrees.

AI explanation

The angle subtended by a chord on the major arc is half the central angle subtended by the same chord. Since this angle is given as 55 degrees, the central angle must be twice that amount. Therefore, the angle subtended at the center is 2 * 55 = 110 degrees. The result is 110 degrees.