Difference between revisions of "1970 AHSME Problems/Problem 12"

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[[Category: Introductory Geometry Problems]]
 
[[Category: Introductory Geometry Problems]]
 
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Latest revision as of 14:40, 2 October 2014

Problem

A circle with radius $r$ is tangent to sides $AB,AD$ and $CD$ of rectangle $ABCD$ and passes through the midpoint of diagonal $AC$. The area of the rectangle, in terms of $r$, is

$\text{(A) } 4r^2\quad \text{(B) } 6r^2\quad \text{(C) } 8r^2\quad \text{(D) } 12r^2\quad \text{(E) } 20r^2$

Solution

$\fbox{C}$

See also

1970 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 11
Followed by
Problem 13
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All AHSME Problems and Solutions

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