Question

Find the distance of chord from the centre of the circle.​

Answer 1

Answer:

the answer is 6cm according to example

Step-by-step explanation:

Example :

A chord of length 16 cm is drawn in a circle of radius 10 cm. Find the distance of the chord from the centre of the circle.

AB is a chord of length 16 cm

C is the midpoint of AB.

OB is the radius of length 10 cm

AB = 16 cm

AC = (1/2) ⋅ 16 = 8 cm

OB = 10 cm

In a right triangle OAC.

OC2 = OA2 - AC2

= √(102 - 82)

= √(100 - 64)

= √36 cm

OC = 6 cm

So, the distance of the chord from the centre is 6 cm