Find the center and the radius of the circle. Then graph the circle. (x+3)^(2)+(y-1)^(2)=16 Use the graphing tool to graph the circle.

Identify Equation Form: Identify the standard form of the circle's equation and compare it to the given equation. Standard form: (x - h)² + (y - k)² = r² Given equation: (x + 3)² + (y - 1)² = 16 Here, h = -3, k = 1, and r² = 16.Calculate Radius: Calculate the radius of the circle by taking the square root of r². r = sqrt(16) r = 4Summarize Center and Radius: Summarize the center and radius of the circle. Center: (-3, 1) Radius: 4Graph Circle: Graph the circle using the center and radius. Plot the center at (-3, 1). Draw a circle with radius 4 around the center.

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Algebra 2

Find the radius or diameter of a circle

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Q. Find the center and the radius of the circle. Then graph the circle.

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(x+3)^{2}+(y-1)^{2}=16

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Use the graphing tool to graph the circle.

Identify Equation Form: Identify the standard form of the circle's equation and compare it to the given equation. $\newline$ Standard form: $(x - h)^2 + (y - k)^2 = r^2$ $\newline$ Given equation: $(x + 3)^2 + (y - 1)^2 = 16$ $\newline$ Here, $h = -3$ , $k = 1$ , and $r^2 = 16$ .
Calculate Radius: Calculate the radius of the circle by taking the square root of $r^2$ . $\newline$ $r = \sqrt{16}$ $\newline$ $r = 4$
Summarize Center and Radius: Summarize the center and radius of the circle. $\newline$ Center: $(-3, 1)$ $\newline$ Radius: $4$
Graph Circle: Graph the circle using the center and radius. $\newline$ Plot the center at $(-3, 1)$ . $\newline$ Draw a circle with radius $4$ around the center.