A chord 10 cm long is drawn in a circle

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

A chord 10 cm long is drawn in a circle of diameter 26 cm. The perpendicular distance of the chord from the centre is:

Options:

12 cm

7 cm

5 cm

8 cm

Correct Answer:

12 cm

Explanation:

We know that,

Diameter of circle = 26 cm

Radius OA = 13 cm

Length of chord AB = 10 cm

then, AC = 5 cm

Using Pythagorean Theorem,

OA²= OC²+ AC²

⇒ 13² = OC² + 5²

⇒ 169 = OC² + 25

⇒ OC² = 144

⇒ OC = 12 cm