turkey-yks 2017 Q35

turkey-yks · Other · ygs Circles Circle Equation Derivation
OAEF is a rectangle, ABCD is a square $| \mathrm { FE } | = 7$ units $| \mathrm { AB } | = 2$ units $| \mathrm { DE } | = x$
In the figure, points E and C are on a quarter circle with center O.
Accordingly, what is $x$ in units?
A) $\frac { 7 } { 2 }$ B) $\frac { 9 } { 2 }$ C) $\frac { 13 } { 4 }$ D) 3 E) 4
OAEF is a rectangle, ABCD is a square
$| \mathrm { FE } | = 7$ units
$| \mathrm { AB } | = 2$ units
$| \mathrm { DE } | = x$

In the figure, points E and C are on a quarter circle with center O.

Accordingly, what is $x$ in units?

A) $\frac { 7 } { 2 }$
B) $\frac { 9 } { 2 }$
C) $\frac { 13 } { 4 }$
D) 3
E) 4