Maharashtra State BoardSSC (English Medium) 8th Standard
Advertisement Remove all ads

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. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads

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.

Advertisement Remove all ads


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

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. 

Concept: Properties of Chord of a Circle
  Is there an error in this question or solution?
Advertisement Remove all ads


Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 17 Circle : Chord and Arc
Practice Set 17.1 | Q 4 | Page 116
Advertisement Remove all ads

View all notifications

      Forgot password?
View in app×