2010 AMC 8 Problem 16
Attempt Problem 16 of the 2010 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2010 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
A square and a circle have the same area. What is the ratio of the side length of the square to the radius of the circle?
Answer: B
Small hint:
Set and solve for .
Big hint:
Write the square area and circle area in terms of side length and radius.
Solution:
Let be the side length of the square and let be the radius of the circle. Then, since they have the same areas, This means so
Thus, the answer is B .
Problem 16 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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- 1991 AMC 8
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