### Video Transcript

Suppose that π΅πΆ equals eight
centimeters and π΅π΄ equals seven centimeters. Which of the following is true? Is it (A) π·π is equal to ππ,
(B) π·π is greater than ππ, or (C) π·π is less than ππ?

Letβs begin by adding the lengths
π΅πΆ and π΅π΄ to our diagram. These are the distances from the
chords π·π and ππ, respectively, to the center of the circle π΅. We recall that the chord that is
closer to the center of the circle has a greater length. From the diagram, we see that the
chord ππ is seven centimeters from the center. This is the length of π΅π΄. The chord π·π, on the other hand,
is eight centimeters from the center. This means that ππ is closer to
the center of the circle than π·π. As this chord will have a greater
length, we can conclude that ππ is greater than π·π. From the three options listed, the
correct answer is option (C) π·π is less than ππ.