Distance from Center to Chord in Circle

Consider a circle with a radius of 10 cm. A chord in this circle measures 12 cm in length. To find the distance from the center of the circle to the chord, you can use the relationship between the radius, the chord length, and the distance from the center to the chord. Let the distance from the center to the chord be $d$. Using the Pythagorean theorem, we can relate these lengths:

Let $r$ be the radius and $c$ be half of the chord's length. The relationship can be written as:

$r^2 = d^2 + c^2$

Where:

• $r = 10$ cm
• $c = \f\frac{12}{2} = 6$ cm

Using the information provided, what is the distance $d$ from the center of the circle to the chord?