1970 AHSME Problems/Problem 7

Problem

Inside square $ABCD$ with side $s$ , quarter-circle arcs with radii $s$ and centers at $A$ and $B$ are drawn. These arcs intersect at a point $X$ inside the square. How far is $X$ from the side of $CD$ ?

$\text{(A) } \tfrac{1}{2} s(\sqrt{3}+4)\quad \text{(B) } \tfrac{1}{2} s\sqrt{3}\quad \text{(C) } \tfrac{1}{2} s(1+\sqrt{3})\quad \text{(D) } \tfrac{1}{2} s(\sqrt{3}-1)\quad \text{(E) } \tfrac{1}{2} s(2-\sqrt{3})$

Solution

$\fbox{E}$

1970 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 6	Followed by Problem 8
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1970 AHSME Problems/Problem 7

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