Multiple choice

If the length of a chord of a circle is equal to the radius, then the angle subtended by it at the centre is

  1. $45^o$
  2. $55^o$
  3. $60^o$
  4. $65^o$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If the chord length equals the radius, the triangle formed by the chord and the two radii to its endpoints is an equilateral triangle. Therefore, all angles are 60 degrees.

AI explanation

If the length of a chord equals the radius, the triangle formed by the two radii and the chord has all three sides equal to the radius. This forms an equilateral triangle. Therefore, the angle subtended at the center is 60 degrees.

Keep practicing — related questions