Question

radius of a circle is 10cm . the length of chord of a circle is 16 cm . find the distance of the chord from center​

Answer 1

Answer:

Given that,

AC = 12 cm  [length of the given chord]

==> AB = 6 cm   [total length of chord/2]

AO = 10 cm [Radius of the given circle]

From Pythagoras theorem,

H² = P² + B²

[ where H Is hypotenuse, P is perpendicular, B is base]

AO² = OB² + AB²

10² = OB² + 6²

OB² = 100 - 36

OB² = 64 

==> OB = 8 

Thus, the distance of the chord from the center of the circle is 8 cm.