A child's desk is made so that it is a replica of a full-size adult desk. Suppose the top of the full-size desk measures 48 inches long by 27 inches wide. If the top of a child's desk is 36 inches long and is similar to the full-size desk, what is the width?

find the center and radius of the circle \( x^{2}-2 x+y^{2}=3 \)

Two gears are adjusted so that the smaller gear drives the larger one, as shown in the figure. If the smaller gear rotates through an angle of \( 270^{\circ} \), through how many degrees will the larger gear rotate?

\( 1 \leqslant \quad \begin{array}{l}\text { Two gears are adjusted so that the smaller gear drives the } \\ \text { larger one, as shown in the figure. If the smaller gear } \\ \text { rotates through an angle of } 270^{\circ} \text {, through how many } \\ \text { degrees will the larger gear rotate? }\end{array} \)

Use geometric formulas to find the unsigned area between the graph of \( y=f(x) \) and the \( x \)-axis over the indicated interval. \( f(x)=x+10 ;[2,11] \) The area between \( f(x) \) and the \( x \)-axis is (Type an exact answer, using \( \pi \) as needed.)

find the center and radius of the circle \( x^{2}-2 x+y^{2}=3 \)