¶ 2020 AMC8 Problem 18
Problem:
Rectangle is inscribed in a semicircle with diameter , as shown in the figure. Let and . What is the area of
Answer Choices:
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Solution:
Let be the center of the circle. Then and radius . Draw radius which also has length . Then is a right triangle with hypotenuse and base leg . By the Pythagorean Theorem . The area of rectangle is = = .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions