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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