SOLUTION: What is the equation of a circle with a center at (-2, 4) and a radius of 4? A. (x-2)^2 + (y+4)^2 = 16 B. (x+2)^2 + (y-4)^2 = 16 C. (x+2)^2 - (y-4)^2 = 16 D. (x-2)^2 - (y+4)^

Algebra.Com
Question 965562: What is the equation of a circle with a center at (-2, 4) and a radius of 4?
A. (x-2)^2 + (y+4)^2 = 16
B. (x+2)^2 + (y-4)^2 = 16
C. (x+2)^2 - (y-4)^2 = 16
D. (x-2)^2 - (y+4)^2 = 16

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

What is the equation of a circle with a center at (-2, 4) and a radius of 4?
recall the formula: where and are and coordinates of the center, and is a radius
A.
...here we see that , (a center at (,)), and
B.
...here we see that , (a center at (,)), and
C.
...here we see that ,,but this is a hyperbola, not a circle
D.
........this is a hyperbola, not a circle

so, the equation of a circle with a center at (,) and a radius of is
and your answer is B.



RELATED QUESTIONS

The standard form equation of a circle with center at (-4,2) and radius 4 is A.) (x-4)²... (answered by josgarithmetic,Boreal)
What is the standard equation of the circle with radius 4, and center (0,0)? A... (answered by jim_thompson5910)
which is an equation of the circle with a radius of 9 units and center at (-4,2)... (answered by Fombitz)
what is the center and radius of the circle with... (answered by solver91311)
What is the center and the radius of a circle with equation... (answered by stanbon)
How do you find the center and the radius of a circle... (answered by stanbon)
What is the radius and center of a circle with the equation x^2+y^2=100? What is the... (answered by Fombitz,solver91311)
The standard form of a circle whose center is (-3,2) and radius 4 is... (answered by RAY100)
The graph of a circle describes y as a function of x. True False Which of these... (answered by Edwin McCravy)