Question

Good morning I could really use some help with this question please!!

Answer 1

Answer:
`(x\text{ - 3\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 16 \lparen option B\rparen}`

Step-by-step explanation:

Given:

center of the circle = (3, -2)

radius = 4

To find:

the standard form of the equation of a circle

The standard form of the equation of circle is given as:

`\begin{gathered} (x\text{ - h\rparen}^2\text{ + \lparen y - k\rparen}^2\text{ = r}^2 \\ center\text{ = \lparen h, k\rparen} \end{gathered}`
`\begin{gathered} h\text{ = 3, k = -2, r = 4} \\ \\ substitute\text{ the values into the formula:} \\ (x\text{ - 3\rparen}^2\text{ + \lparen y - \lparen-2\rparen\rparen}^2\text{ = 4}^2 \\ (x\text{ - 3\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 16} \end{gathered}`

The equationof the circle in standard form:

`(x\text{ - 3\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 16 \lparen option B\rparen}`