# 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?

##### 2 Answers

Apr 9, 2016

9 cm.

#### Explanation:

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)

Apr 10, 2016

#### Explanation:

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

#color(blue)(a^2+b^2=c^2#

Where,