Question

A broken pottery shard found at an archaeological dig has a curved edge. Find the diameter of the
original plate. (Use the fact that the diameter PR is the perpendicular bisector of chord AB.) If necessary,
enter your answer as a simplified proper fraction or mixed number.

Answer 1

Answer: 18 1/2 inches

Step-by-step explanation:

Answer 2

Applying the segments of chords theorem, the diameter of the original plate is: PR = 18 ⅛ inches.

What is the Segments of Chords Theorem?

Based on the segments of chords theorem, the following equation is true:

(AQ)(QB) = (PQ)(QR)

Plug in the values

(9)(9) = (8)(QR)

QR = 81/8

QR = 10 ⅛ inches.

Diameter PR = QR + PQ

Diameter PR = 10 ⅛ + 8

Diameter PR = 18 ⅛

Learn more about the segments of chords theorem on:

https://brainly.com/question/13950364

#SPJ2