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A Chord of Length 8cm is Drawn Inside a Circle of Radius 6cm. Find the Perpendicular Distance of the Chord from the Centre of the Circle. - Mathematics

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प्रश्न

A chord of length 8cm is drawn inside a circle of radius 6cm. Find the perpendicular distance of the chord from the centre of the circle.

योग

उत्तर

AC = CB = 4cm

(Perpendicular from centre to a chord bisects the chord) 

In right Δ  ABO, 

By Pythagoras theorem, OA2 = OC2 + AC2 

OC2 - 62 + 42 

OC = 36 - 16 = 20 

OC2 = `2 sqrt 5` cm

Perpendicular distance of chord from centre is `2 sqrt 5` cm

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अध्याय 17: Circles - Exercise 17.1

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 17 Circles
Exercise 17.1 | Q 18

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