Mathematics

The key insight is that equal chords in a circle are always equidistant from the center. Here, you'll use the relationship between a chord's length, the radius, and the perpendicular distance from the center to the chord—formed by a right triangle. Once you find the length of $AB$ using the given distance and radius, you know $CD$ has that same length automatically, since equal chords don't need to be in the same position.

The key insight is that equal chords in a circle are always equidistant from the center. Here, you'll use the relationship between a chord's length, the radius, and the perpendicular distance from the center to the chord—formed by a right triangle. Once you find the length of $AB$ using the given distance and radius, you know $CD$ has that same length automatically, since equal chords don't need to be in the same position.