Sor what values of \( r \) will the area of the shaded region be greater than or equal to 12 square units?

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

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

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

\( 16 \quad \) How long is an arc intercepted by the given central angle in a circle of radius 3.97 km ?

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.)