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A chord is 12 cm away from the centre of the circle of radius 15 cm. Find the length of the chord - Mathematics

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प्रश्न

A chord is 12 cm away from the centre of the circle of radius 15 cm. Find the length of the chord

योग

उत्तर

Radius of a circle (OA) = 15 cm

Distance from centre to the chord (OC) = 12 cm

In the right ΔOAC,

AC2 = OA2 – OC2

= 152 – 122

= 225 – 144

= 81

AC = `sqrt(81)`

= 9

Length of the chord (AB)

= AC + CB

= 9 + 9

= 18 cm.

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अध्याय 4: Geometry - Exercise 4.3 [पृष्ठ १६९]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
अध्याय 4 Geometry
Exercise 4.3 | Q 4 | पृष्ठ १६९
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