MathDB
SMT 2021 Geometry #2

Source:

August 9, 2023
geometry

Problem Statement

Let ABCDABCD be a trapezoid with bases AB=50AB = 50 and CD=125CD = 125, and legs AD=45AD = 45 and BC=60BC = 60. Find the area of the intersection between the circle centered at BB with radius BDBD and the circle centered at DD with radius BDBD. Express your answer as a common fraction in simplest radical form and in terms of π\pi.
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