Find x and y to three significant digits using the formula s = r? (? in radians). $$\begin{array} { | c | c | c | }
\hline \text { Radius, } r & \text { Angle, } \Theta & \text { Distance, } s \
\hline 20 \mathrm {~cm} & x \mathrm { rad } & 52 \mathrm {~cm} \
\hline 10 \mathrm {~mm} & y \mathrm { rad } & 18 \mathrm {~mm} \
\hline
\end{array}$$
A) x = 8.168; y = 5.655
B) x = 5.2; y = 3.6
C) x = 2.6; y = 3.6
D) x = 2.6; y = 1.8
E) x = 5.2; y = 1.8

Question

Find x and y to three significant digits using the formula s = r? (? in radians).   $$\begin{array} { | c | c | c | } 
\hline \text { Radius, } r & \text { Angle, } \Theta & \text { Distance, } s \
\hline 20 \mathrm {~cm} & x \mathrm { rad } & 52 \mathrm {~cm} \
\hline 10 \mathrm {~mm} & y \mathrm { rad } & 18 \mathrm {~mm} \
\hline
\end{array}$$
A) x = 8.168; y = 5.655
B) x = 5.2; y = 3.6
C) x = 2.6; y = 3.6
D) x = 2.6; y = 1.8
E) x = 5.2; y = 1.8

Quizplus · Accepted Answer

Using the formula $s = r\Theta$, we can solve for $\Theta$ by rearranging it to $\Theta = \frac{s}{r}$. For the first row, $x = \frac{52\,cm}{20\,cm} = 2.6\,rad$. For the second row, $y = \frac{18\,mm}{10\,mm} = 1.8\,rad$.

Find X and Y to Three Significant Digits Using the Formula