Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a cirele with radius 5 cm, a chord is at a distance of 3 cm from the centre. The length of the chord is:

Options:

3 cm

7 cm

8 cm

4 cm

Correct Answer:

8 cm

Explanation:

As OR is perpendicular to PQ

In Triangle ORQ,

h² = b² + p²

OQ² = OR² + RQ²

5² = 3² + RQ²

RQ² = 25 - 9 = 16

RQ = 4

Now, PQ = 2RQ = 2 x 4

= 8 cm