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

The diameter of the circle is 52 cm and the length of one of its chord is 20 cm. Find the distance of the chord from the centre - Mathematics

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Sum

The diameter of the circle is 52 cm and the length of one of its chord is 20 cm. Find the distance of the chord from the centre

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Solution


Length of the chord = 20 cm

AC = `20/2`

= 10 cm

In ΔOAC, OC2 = OA2 – AC2

= 262 – 102

= (26 + 10)(26 – 10)

= 36 × 16

OC = `sqrt(30 xx 16)`

= 6 × 4 cm

= 24 cm

Distance of the chord from the centre = 24 cm.

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Chapter 4: Geometry - Exercise 4.3 [Page 169]

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Tamil Nadu Board Samacheer Kalvi Class 9th Mathematics Answers Guide
Chapter 4 Geometry
Exercise 4.3 | Q 1 | Page 169

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