2015 AMC 10B Problems/Problem 12
Problem
For how many integers is the point
inside or on the circle of radius
centered at
?
Video Solution 1
~Education, the Study of Everything=
Solution=
The equation of the circle is . Plugging in the given conditions we have
. Expanding gives:
, which simplifies to
and therefore
and
. So
ranges from
to
, for a total of
integer values.
Note by Williamgolly:
Alternatively, draw out the circle and see that these points must be on the line .
See Also
2015 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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All AMC 10 Problems and Solutions |
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