Question

What is the standard form of the equation of the circle in the graph?

A.) (x + 1)2 + (y + 2)2 = 4
B.) (x - 1)2 + (y - 2)2 = 4
C.) (x - 1)2 + (y - 2)2 = 16
D.) (x + 1)2 + (y + 2)2 = 16

Answer 1

The correct answer is C hunny

Answer 2

The standard form of the equation of the circle in the graph will be (x - 1)² + (y - 2)² = 16. Then the correct option is C.

What is the equation of a circle?

Let r be the radius of the circle and the location of the center of the circle be (h, k).

Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

From the graph, the location of the center point will be at (1, 2), and the radius of the circle is 4 units.

Then the equation of the circle will be

(x - 1)² + (y - 2)² = 4²

Simplify the equation, then the equation of the circle will be

(x - 1)² + (y - 2)² = 16

The standard form of the equation of the circle in the graph will be (x - 1)² + (y - 2)² = 16.

Then the correct option is C.

More about the equation of circle link is given below.

https://brainly.com/question/10618691

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