Debido a un incendio en una fabrica de ropa, se tuvo que desalojar a las personas que estaban ubicadas dentro de un radio de 500 metros de la fábrica. Una familia tiene su casa a 400 metros al este y a 350 metros al sur de la fabrica. ¿La familia fue desalojada?

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.)

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?

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

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

Examine the graph of the circle at right. Homework Help a. What is the equation of the circle? b. On graph paper, sketch the graph of \( x^{2}+y^{2}=81 \). What is the radius?