Question

radius of a circle is 5cm The length of. a chord. of the circle is. 8cm find the distance of. the chord from the centre answer​

Answer 1

Step-by-step explanation:

See the attached figure.

OB is the radius = 5cm.

AB is the chord. Where OD is the distance between Center and the chord.

Also, OD is perpendicular to AB and bisects AB.

Therefore, AD = DB = 4 cm.

Let's calculate OD using Pythagoras theorem -

  OD² + DB² = OB²

⇒ OD² + 4² = 5²

⇒ OD² + 16 = 25

⇒ OD² = 25 - 16

⇒ OD² = 9

⇒ OD = 3 cm

Hence, the distance from center and chord = 3 cm

Answer:-

The distance from center and chord = 3 cm