The rectangular coordinates of a point are given. Find polar coordinates of the point. (-4,4) The polar coordinates are (Type an ordered pair. Type an exact answer in terms of x. Use integers or fractions for any numbers in the expression. Type the coordinate for 0 in radians between 0 and 2n.)

07 < Guadalupe is skiing along a circular ski trail that has a radius 3.1 km long. She starts at the 3-o'clock position and travels in the CCW direction. Guadalupe stops skiing when she is - 1.002 km to the right and 2.934 km above the center of the ski trail. Imagine an angle with its vertex at the center of the ski trail that subtends Guadalupe's path. a. How many radians has the angle swept out since Guadalupe started skiing? radians Preview b. How many km has Guadalupe skied since she started skiing? 1 km Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Submit 30 10:05 D

R Figure 1. A circle of circles. Create a table of the form shown below which shows the relevant angles in radians, as well as the coordinates of the two circles. In your expressions for x and y, write in terms of the symbolic theta and not the theta in radians. Angle Yellow Circles Blue Circles e (sym) e (rad) y y 4. 0, (d) What if the circle is centered at the point (cx, cy) (and not the origin). How does the formula change?