In the given figure O is the center of t

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Home Questions N4QBCGKZ9F

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure O is the center of the circle. If ∠PRQ = 84°, then the value of ∠OPQ is?

Options:

12°

36°

20°

6°

Correct Answer:

6°

Explanation:

∠POQ = 2 × ∠PRQ = 2 × 84 = 168°

(Angle formed on the center is double the angle formed on the circumference by same are)

PO = OQ = radius

2∠OPQ = 180° - 168° = 12°

∠OPQ = 6°