2018 · Q84
The chord of a circle is {3} times its radius. The angle subtended by this chord at the minor arc is k times the angle subtended at the major arc. What is the value of k ?
Elementary MathematicsCircles
- A5
- B2
- C1/2
- D1/5
Explanation
A chord of length sqrt(3) r subtends 2 arcsin(sqrt(3)/2) = 120 degrees at the centre. It therefore subtends 60 degrees at the major arc and 120 degrees at the minor arc. k = 120/60 = 2. Hence option B.