Radius of a circle is 10 cm. Distance of

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Radius of a circle is 10 cm. Distance of chord PQ from the centre is 8 cm. What is the length of chord PQ?

Options:

16 cm

15 cm

12 cm

14 cm

Correct Answer:

12 cm

Explanation:

The length of chord is 2√(\( { r}^{2 } \) - \( { d}^{2 } \))

= 2\(\sqrt {100\;-\;64 }\) = 2\(\sqrt { 36}\) = 12 cm.