Multiple choice

Angle subtended by a chord on the centre of a circle is 180 degree. What will be the angle subtended by the same chord on the circumference of this circle?

  1. 120 degree

  2. 95 degree

  3. 90 degree

  4. 45 degree

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

When a chord subtends 180° at the center, it is a diameter. According to the theorem: 'The angle subtended by a chord at the center is twice the angle subtended at the circumference on the same side.' Therefore, if the central angle is 180°, the angle at the circumference = 180°/2 = 90°. This is a fundamental property of circles.