Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Distance of a chord RS from the centres is 20 cm, if the length of this chord is 30 cm, then what will be the diameter of this circle?

Options:

45 cm

55 cm

60 cm

50 cm

Correct Answer:

50 cm

Explanation:

Half of the chord length = \(\frac{30}{2}\) = 15 cm

Distance of the chord from the center = 20 cm

According tot the formula,

Length of the radius = \(\sqrt { { 20}^{2 } \;+\;{ 15}^{2 } }\) = 25 cm

Now, the length of the diameter = 25 x 2 = 50 cm

Therefore, the diameter of the circle will be 50 cm.