Comparing Distances of Chords from Circle Center

In a circle with a radius of 8 units, two parallel chords are drawn. The first chord is 10 units long, and the second chord is 6 units long. We are interested in comparing the distances of each chord from the center of the circle. Let d₁ represent the distance from the center of the circle to the first chord, and d₂ represent the distance from the center of the circle to the second chord.

To find the distances of the chords from the center of the circle, we can use the following formula: $$ d = \sqrt{r^2 - (\f\frac{c}{2})^2} $$

Where r is the radius of the circle, and c is the length of the chord.

Using this formula, calculate both d₁ and d₂.