asked 147k views
5 votes
5. What is the radius and center of the circle given by the equation (x+12)^2+(y−4)^2=81?

asked
User Vigo
by
8.5k points

1 Answer

6 votes

Center is (-12,4) and radius is 9

Explanation:

Equation of circle with (h,k) as center and radius r is given by,

(x-h)²+(y-k)² = r²

Here we need to find the radius and center of the circle given by the equation (x+12)²+(y−4)²=81

Changing equation to (x-h)²+(y-k)² = r² form

(x+12)²+(y−4)²=81

(x-(-12))²+(y-4)² = 9²

So, h = -12 , k = 4 and r = 9

Center is (-12,4) and radius is 9

answered
User Jrizzo
by
8.4k points
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