turkey-yks 2010 Q36

turkey-yks · Other · ygs Radians, Arc Length and Sector Area
ABCD is a rectangle $\wideparen { \mathrm { CE } }$ is a circular arc with center A $| \mathrm { DA } | = 4 \mathrm {~cm}$ $| \mathrm { AC } | = 8 \mathrm {~cm}$
According to the given information, what is the area of the shaded circular sector in $\mathbf { cm } ^ { \mathbf { 2 } }$?
A) $\frac { 16 \pi } { 3 }$
B) $\frac { 20 \pi } { 3 }$
C) $\frac { 25 \pi } { 3 }$
D) $\frac { 28 \pi } { 3 }$
E) $\frac { 32 \pi } { 3 }$
ABCD is a rectangle\\
$\wideparen { \mathrm { CE } }$ is a circular arc with center A\\
$| \mathrm { DA } | = 4 \mathrm {~cm}$\\
$| \mathrm { AC } | = 8 \mathrm {~cm}$

According to the given information, what is the area of the shaded circular sector in $\mathbf { cm } ^ { \mathbf { 2 } }$?\\
A) $\frac { 16 \pi } { 3 }$\\
B) $\frac { 20 \pi } { 3 }$\\
C) $\frac { 25 \pi } { 3 }$\\
D) $\frac { 28 \pi } { 3 }$\\
E) $\frac { 32 \pi } { 3 }$