Answer
a) 50 feet
b) 5 feet
c) 55 feet
d) $(0, 55)$
e) $(x-0)^2 +(y-55)^2=2500$
Work Step by Step
a)
radius = diameter /2
$r = 100/2$
$r=50$
b)
max height - diameter = height to bottom of wheel
$105-100=5$
c)
radius + height from ground = center
$50 + 5 = 55$
d)
origin is at $x=0$ and has a height of the center of the wheel
$(0, 55)$
e)
equation of circle: $(x-h)^2 +(y-k)^2=r^2$
center point is located at $(0, 55)$
radius is $50$
$(x-0)^2 +(y-55)^2=50^2$
