2013 AMC 8 Problem 20
Attempt Problem 20 of the 2013 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
20.
A rectangle is inscribed in a semicircle with the longer side on the diameter. What is the area of the semicircle?
Answer: C
Small hint:
The radius goes from the midpoint of the diameter to a top corner of the rectangle.
Big hint:
That radius is the hypotenuse of a by right triangle.
Video solution:
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Written solution:
Using the Pythagorean theorem, we get that the radius of the semicircle is This means that the area of the semicircle is Thus, C is the correct answer.
Problem 20 in other years
- 1985 AMC 8
- 1986 AMC 8
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