A circle has a radius of $14.$ Let $\overline{AB}$ be a chord of the circle, such that $AB = 12$. What is the distance between the chord and the center of the circle?

7.2

Step-by-step explanation:

The radius of the circle is 14.

The length of the chord is 12.

Half the length of the chord and radius form a right angled triangle as shown in the diagram below.

We need to find one of the sides of the triangle, d in the diagram.

Using Pythagoras rule:

The distance between the chord and the center of the circle is 7.2

a negative exponent is translated as follows:

so, we have

c: lkllmn.

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