Question

versity City Geometry 1.2 - CR (9/17)
Equation on a circle
Pre-Test Active
Which equation represents a circle with a center at (-3,-5) and a radius of 6 units?
(x - 3)2 + (-5)2 = 6
(x - 3)2 + (-5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x+3)2 + (x + 5)2 = 36
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Answer 1

Answer:

$(x+3)^{2}+(y+5)^{2}=36$

Step-by-step explanation:

we know that

The equation of a circle in standard form is equal to

$(x-h)^{2}+(y-k)^{2}=r^{2}$

In this problem we have

$(h,k)=(-3,-5)$

$r= 6\ units$

substitute

$(x+3)^{2}+(y+5)^{2}=6^{2}$

$(x+3)^{2}+(y+5)^{2}=36$