What is the center and radius of the circle with equation (x-5)^2+(y+3)^2=16?

Audrina Graham

Audrina Graham

Answered question

2022-12-21

What is the center and radius of the circle with equation (x5)2+(y+3)2=16?

Answer & Explanation

swtladierov

swtladierov

Beginner2022-12-22Added 8 answers

The circle's equation is
(xh)2+(yk)2=r2
Where the circle's center is (-h,-k)
to solve the equation
(x5)2+(x+3)2=16
As a result, the inverse of both h and k, or (5,-3), is the location of the circle's center.
The radius is the 16 which is r=4.

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