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

In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords? - Mathematics

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Sum

In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?

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Solution

Length of the chord (AB) = 16 cm

∴ AF = `1/2 xx 16`

= 8 cm

Length of the chord (CD) = 12 cm

∴ CE = `1/2 xx 12`

= 6 cm

In the right ΔOCE,

OE2 = OC2 – CE2

= 102 – 62

= 100 – 36

= 64

OE = `sqrt(64)`

= 8 cm

In the right ΔOAF,

OF2 = OA2 – AF2

= 102 – 82

= 100 – 64

= 36

OE = `sqrt(36)`

= 6 cm

Distance between the two chords

= OE + OF

= 8 + 6

= 14 cm

  Is there an error in this question or solution?
Chapter 4: Geometry - Exercise 4.3 [Page 170]

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Tamil Nadu Board Samacheer Kalvi Class 9th Mathematics Answers Guide
Chapter 4 Geometry
Exercise 4.3 | Q 5 | Page 170

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