Question

A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?

(x - 1)2 + (y + 2)2 = 3

(x + 1)2 + (y - 2)2 = 3

(x + 1)2 + (y + 2)2 = 9

(x + 1)2 + (y - 2)2 = 9

Answer 1

Hello,

Answer D

(x+1)²+(y-2)²=9

Answer 2

`(x+1)^2+(y-2)^2=9`

last option is correct.

Explanation:

We have been given that

Center: (-1,2)

Radius : 3 units

We know that the standard form of the circle is given by

`(x-h)^2+(y-k)^2=r^2`

Here, h = -2, k = 2, and r=3

Substituting these values in the above formula, we get

`(x+1)^2+(y-2)^2=3^2\\\\(x+1)^2+(y-2)^2=9`

Therefore, last option is correct.