Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

A chord is at a distance of 15 cm from the centre of the circle of radius 25 cm. The length of the chord is - Mathematics

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MCQ

A chord is at a distance of 15 cm from the centre of the circle of radius 25 cm. The length of the chord is

Options

  •  25 cm

  •  20 cm

  • 40 cm

  • 18 cm

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Solution

40 cm

Explanation;

Hint:

In the right triangle OAC,

AC2 = OA2 – OC2

= 252 – 152

= (25 + 15)(25 – 15)

= 40 × 10

AC2 = 400

AC = `sqrt(400)`

= 20

Length of the chord AB = 20 + 20 = 40 cm.

  Is there an error in this question or solution?
Chapter 4: Geometry - Exercise 4.7 [Page 182]

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Tamil Nadu Board Samacheer Kalvi Class 9th Mathematics Answers Guide
Chapter 4 Geometry
Exercise 4.7 | Q 12 | Page 182

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