A diameter of a circle is perpendicular to a chord whose length is 12 inches. If the length of the shorter segment of the diameter is 4 inches, what is the length of the longer segment of the diameter?
Ok I feel bad. 12 years later and still no response.
To solve this problem, we can use the properties of a circle and apply the theorem stating that "If a diameter of a circle is perpendicular to a chord, then it bisects the chord and creates two congruent segments."
Given that the length of the chord is 12 inches and the length of one segment is 4 inches, we can conclude that the other segment has the same length.
Therefore, the length of the longer segment of the diameter is also 4 inches.