1. let be the circle in the coordinate plane that passes though the points (0, 0), (0, 6), and (8, 0).
a. what are the coordinates of the center of the circle?
b. what is the area of the portion of the interior of the circle that lies in the first quadrant? (give an
exact answer in terms of
c. what is the area of the portion of the interior of the circle that lies in the second quadrant? (give an
approximate answer correct to one decimal place.)
d. what is the length of the arc of the circle that lies in the first quadrant with endpoints on the axes?
(give an exact answer in terms of
e. what is the length of the arc of the circle that lies in the second quadrant with endpoints on the
axes? (give an approximate answer correct to one decimal place.)
f. a line of slope −1 is tangent to the circle with point of contact in the first quadrant. what are the
coordinates of that point of contact?
g. describe a sequence of transformations that show circle is similar to a circle with radius one
centered at the origin.
h. if the same sequence of transformations is applied to the tangent line described in part (f), will the
image of that line also be a line tangent to the circle of radius one centered about the origin? if so,
what are the coordinates of the point of contact of this image line and this circle?