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C is the Centre of the Circle Whose Radius is 10 Cm. Find the Distance of the Chord from the Centre If the Length of the Chord is 12 Cm. - SSC (English Medium) Class 8 - Mathematics

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Question

C is the centre of the circle whose radius is 10 cm. Find the distance of the chord from the centre if the length of the chord is 12 cm.

Solution

C is the centre of the circle.
Radius = 10 cm
Let the chord be AB. 
Distance of the centre to the chord = AB.
CD is perpendiculaar to the chord AB. 
Perpendicular drawn from the centre of the circle to the chord bisects the chord. 

AD = `"AB"/2 = 12/2` = 6 cm

In Δ ACD,
We apply the Pythagoras theorem

CD² + AD² = AC²

⇒ CD² + 6² = 10²

⇒ CD² + 36² = 100

⇒ CD² = 64

⇒ CD = 8 cm 

Thus, distance of the chord from the centre is 8 cm. 

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 17: Circle : Chord and Arc
Practice Set 17.1 | Q: 4 | Page no. 116
Solution C is the Centre of the Circle Whose Radius is 10 Cm. Find the Distance of the Chord from the Centre If the Length of the Chord is 12 Cm. Concept: Properties of Chord of a Circle.
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