Archways are a popular feature in many construction projects. Many older archways were created using stones called keystones. In the photo above, an archway is shown with the setting of a keystone at the top of the arch.
Archeologists have unearthed a stone from an archway built many years ago. The stone is 25 inches thick. The front surface is in the approximate shape of an isosceles trapezoid. The longer base is 16 inches long and the shorter base is 12 inches long. The legs measure 24 inches. Archeologists know that typically all the other stones in the archway were congruent to the stone that was found. How many stones similar to the one described would it have taken to produce the original archway? What was the interior diameter of the archway?
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