Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Length of the chord AB of a circle is equal to the radius of the circle. What will be angle subtended by the chord at the centre of the circle ?

Options:

40 degree

60 degree

30 degree

50 degree

Correct Answer:

60 degree

Explanation:

Length of chord = L = 2rsin\(\theta \) = r

sin\(\theta \) = \(\frac{1}{2}\)

Therefore, \(\theta \) = \({30}^\circ\)

Angle subtended by chord at center = 2\(\theta \) = \({60}^\circ\).