Why is the point (4, 3) there but not mentioned??
Anyways, the point that P (3, 0) is after rotating 180° about the origin is (-3, 0).
btw, for 180 rotations about O, just take negative value of (x, y)--> (-x, -y)
That way -(3), -(0) becomes (-3, 0)
9 ft is my answer hope this helps
Answer:
Step-by-step explanation:
Although the way you wrote problem, this is not what it looks like, I think this is what you meant.
First, I'd like to say that this question is flawed because the diameter of the spool changes as you pull the line out. Some would argue it's negligible I suppose.
At any rate, assuming there's a magic spool where the diameter doesn't change, let's find the cicumference so we can find the length of one wrap around the spool.
circumference = 2*pi*r = 2 * pi * 4cm = about 25.133 cm
Now if it turns 16 times we'll have 16 times the circumference.
16 * (25.133 cm)
= 402.128 cm
