1970 AHSME Problems/Problem 12

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

$\fbox{C}$

1970 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 11	Followed by Problem 13
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
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1970 AHSME Problems/Problem 12

Problem

Solution

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