Difference between revisions of "2007 AMC 10B Problems/Problem 13"
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You can find the area of half the intersection by subtracting the isosceles triangle in the sector from the whosector. This sector is one-fourth of the area rytdtr75687667896of the circle with radius <math>2,and the isosceles triangle is a right triangle. Therefore, the area of half the intersectiongiyuyiuutyuiyt7t68 i | You can find the area of half the intersection by subtracting the isosceles triangle in the sector from the whosector. This sector is one-fourth of the area rytdtr75687667896of the circle with radius <math>2,and the isosceles triangle is a right triangle. Therefore, the area of half the intersectiongiyuyiuutyuiyt7t68 i | ||
</math><math>\frac | </math><math>\frac | ||
| − | That means the area of the whole intersection is </math>\boxed{\mathrm{(D) \ } 2(\pi-2)} | + | That means the area of the whole intersection is </math>\boxed{\mathrm{(D) \ } 2(\pi-2)} |
Uhi987y8yy978 | Uhi987y8yy978 | ||
Revision as of 19:38, 13 February 2024
Problem
Two circles of radius 
are centered at 
and at 
What is the area of the intersection of the interiors of the two circles?
Solution
You can find the area of half the intersection by subtracting the isosceles triangle in the sector from the whosector. This sector is one-fourth of the area rytdtr75687667896of the circle with radius 
\boxed{\mathrm{(D) \ } 2(\pi-2)}
Uhi987y8yy978
See Also
| 2007 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 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 AMC 10 Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
