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

`(x+3)^(2)+(y+5)^(2)=36`

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`