Suppose the diameter of a circle is 30 centimeters long and a chord is 24 centimeters long. How do you find the distance between the chord and the center of the circle?
If AB is the chord, M is its midpoint and C is the center of the circle,
the distance between the chord and the center is
CA = radius of the circle = 15 cm and AM = (length of the chord)
Consider the image
Let the distance between the chord and centre of the circle be
We need to find
For that we need to recreate this image
Now we have formed a right angle triangle
Now the problem has become easy!
Use Pythagoras theorem