SOLUTION: A circle is represented by the equation below: (x + 2)2 + (y - 4)2 = 225 Which statement is true? (5 points) Select one: a. The circle is centered at (-2, 4) and has

Algebra ->  Circles -> SOLUTION: A circle is represented by the equation below: (x + 2)2 + (y - 4)2 = 225 Which statement is true? (5 points) Select one: a. The circle is centered at (-2, 4) and has       Log On


   

Question 824000: A circle is represented by the equation below:
(x + 2)2 + (y - 4)2 = 225
Which statement is true? (5 points)

Select one:

a. The circle is centered at (-2, 4) and has a radius of 15.
b. The circle is centered at (2, -4) and has a diameter of 15.
c. The circle is centered at (2, -4) and has a radius of 15.
d. The circle is centered at (-2, 4) and has a diameter of 15.
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of a circle is %28x-h%29%5E2+%2B+%28+y-k%29%5E2+=+r%5E2
(h,k) is the coordinate for the center of the circle.


-h = 2 so h = -2 and -k = -4 so k=4. The center is (-2,4)


r%5E2+=+225. sqrt%28225%29+=+15


The correct choice is A.