2021 CMC 12A Problems/Problem 2
- The following problem is from both the 2021 CMC 12A #2 and 2021 CMC 10A #2, so both problems redirect to this page.
Contents
[hide]Problem
Two circles of equal radius have an overlap area of and the total area covered by the circles is . What is the value of ?
Solution
The area of one of the circles is The radius of a circle with area is .
Video Solution
https://www.youtube.com/watch?v=H4uIpLB-6Jo
~Punxsutawny Phil
See also
2021 CMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 1 |
Followed by Problem 3 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All CMC 12 Problems and Solutions |
2021 CMC 10A (Problems • Answer Key • Resources) | |
Preceded by Problem 1 |
Followed by Problem 3 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All CMC 10 Problems and Solutions |
The problems on this page are copyrighted by the MAC's Christmas Mathematics Competitions.