Question 634710: How do you graph (x+4)²+(y-2)²=25? What is the area of the enclosed region? Found 2 solutions by Edwin McCravy, nyc_function:Answer by Edwin McCravy(20060) (Show Source):
(x+4)² + (y-2)² = 25
is in the form:
(x-h)² + (y-k)² = r²
which is the equation of a circle with
center (h,k) = (-4,2) and radius 5.
Its area is given by the formula A = pr² = p(5)² = p(25) = 25p
Edwin
You can put this solution on YOUR website! This is a circle centered at (-4,2) and
has a radius of 5. Plot the point (-4,2)
and move a distance of 5 units from
the point up, down, left and right.
Then connect all the points forming
a circle.
Since the radius is 5, use
A = pi(radius)^2 to find area.
A = pi(5)^2
A = 25pi