1950 AHSME Problems/Problem 34
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Problem
When the circumference of a toy balloon is increased from inches to
inches, the radius is increased by:
Solution
When the circumference of a circle is increased by a percentage, the radius is also increased by the same percentage (or else the ratio of the circumference to the diameter wouldn't be anymore)
We see that the circumference was increased by
. This means the radius was also increased by
. The radius of the original balloon is
. With the
increase, it becomes
. The increase is
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 33 |
Followed by Problem 35 | |
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