Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a circle with centre O, a 6 cm long chord is at a  distance 4 cm from the centre. Find the length of the diameter.

Options:

14 cm

7 cm

5 cm

10 cm

Correct Answer:

10 cm

Explanation:

We know that,

Pythagoras theorem: 

h2 = b2 + p2

r2 = 4+ 32

r = 5

The diameter of the circle  = 2 × 5 = 10 cm