turkey-yks 2010 Q37

turkey-yks · Other · ygs Radians, Arc Length and Sector Area
O is the center of the circle
AT is tangent to the circle at point T
$$\begin{aligned} & | A T | = 3 \mathrm {~cm} \\ & \mathrm {~m} ( \widehat { \mathrm { OAT } } ) = 45 ^ { \circ } \end{aligned}$$
According to the given information, what is the length of arc BT in cm?
A) $\frac { \pi } { 2 }$
B) $\frac { 2 \pi } { 3 }$
C) $\frac { 3 \pi } { 4 }$
D) $\frac { 4 \pi } { 5 }$
E) $\frac { 5 \pi } { 6 }$
O is the center of the circle

AT is tangent to the circle at point T

$$\begin{aligned}
& | A T | = 3 \mathrm {~cm} \\
& \mathrm {~m} ( \widehat { \mathrm { OAT } } ) = 45 ^ { \circ }
\end{aligned}$$

According to the given information, what is the length of arc BT in cm?\\
A) $\frac { \pi } { 2 }$\\
B) $\frac { 2 \pi } { 3 }$\\
C) $\frac { 3 \pi } { 4 }$\\
D) $\frac { 4 \pi } { 5 }$\\
E) $\frac { 5 \pi } { 6 }$