Multiple choice

Radius of a circle is 10 cm. Angle made by chord AB at the centre of this circle is 600. What is the length of this chord?

  1. 40 cm

  2. 20 cm

  3. 30 cm

  4. 10 cm

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

The length of a chord in a circle of radius r that subtends an angle θ at the center is given by: chord length = 2r sin(θ/2). Here r = 10 cm and θ = 60° (assuming 600 is a typo for 60°). Chord length = 2 × 10 × sin(60°/2) = 20 × sin(30°) = 20 × 0.5 = 10 cm. If the angle is literally 600°, then chord length = 20 × sin(300°) = 20 × (-√3/2) which is negative and doesn't make physical sense. Assuming standard geometric context, the angle is 60°, making the chord length 10 cm.