Question

the radius of a circle is 6 CM the perpendicular distance from the centre of the circle to the cord which is 8 cm in length is​

Answer 1

Answer:

2√5 cm

Step-by-step explanation:

Use the image given below for reference.

Radius = 6 cm = OA

OP is perpendicular to AB

We know that perpendicular from centre bisects a chord.

Thus, AP = BP = 8/2 => 4 cm.

Applying Pythagoras' theorem,

OP² = OA² – AP²

=> OP² = 6² - 4²

=> OP² = 36 - 16 --> 20

∴ OP² =  √20 => 2√5 cm