Difference between revisions of "1950 AHSME Problems/Problem 8"
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[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
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Latest revision as of 10:58, 5 July 2013
Problem
If the radius of a circle is increased 
, the area is increased:
Solution
Increasing by is the same as doubling the radius. If we let 
be the radius of the old circle, then the radius of the new circle is 
Since the area of the circle is given by the formula 
the area of the new circle is 
The area is quadrupled, or increased by 
See Also
| 1950 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 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 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
