Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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In the figure, O is the centre of the circle and ∠ACB = 40° then ∠AOB = - Mathematics

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MCQ

In the figure, O is the centre of the circle and ∠ACB = 40° then ∠AOB =

Options

  • 80°

  • 85°

  • 70°

  • 65°

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Solution

80°

Explanation;

Hint:

∠AOB = 2∠ACB ...(The angle subtended by an arc of the circle at the centre is double the angle subtended at the remaining part of the circle.)

= 2 × 40°

= 80°

Concept: Theorem: The angle subtended by an arc of the circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.
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APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 9th Mathematics Answers Guide
Chapter 4 Geometry
Exercise 4.7 | Q 13 | Page 182
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