Answer:

Step-by-step explanation:
The standard equation for a circle is given by:

Where (h, k) is the center and r is the radius.
We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

Simplify:

Now, we will need to find r.
We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

Evaluate:

Square:

Add:

So, r squared is 85.
We don’t actually have to solve for r itself, since we will have to square it anyways.
So, we have:

Substituting 85 for r squared, we get:

And we have our equation.
Answer:
m arc ACD =310
m arc AC = 130
Step-by-step explanation:
drawing the figure helps
if you do, should get something like the figure below
filling in arc ad as 50 degrees tells you that the angle describing it is also 50 degrees; it's a central angle.
and we know that 1/2 of a circle is 180 degrees. so if you subtract 50 from 180 you'll get 130 which will be your measurement for arc AC (because it is a central angle and AC
+AD completes the 180 half.).
as well as that to get ACD, well 1st we know that arc AC is within arc ACD. that would mean that ACD has to be more than 130.
what you can do is subtract 50 from 360. the entire circle is 360, but seeing as the arc is ACD (The rest of the circle excluding arc AD since we aren't looking for that measurement) we can just subtract.
subtracting 50 from 360 will give you 310
3/5 x 2 1/3.....turn mixed number to improper fraction
3/5 x 7/3 = 21/15 reduces to 7/5 or 1 2/5