Question

Question
Use the image to answer the question.

A circle is plotted on a coordinate plane.

Which equation is the standard form of the equation of a circle drawn on the coordinate plane, derived from the Pythagorean Theorem?

(1 point)
Responses

(x−2)2+(y+2)2=16
left parenthesis x minus 2 right parenthesis squared plus left parenthesis y plus 2 right parenthesis squared equals 16

(x−2)2+(y−2)2=4
left parenthesis x minus 2 right parenthesis squared plus left parenthesis y minus 2 right parenthesis squared equals 4

(x+2)2+(y−6)2=4
left parenthesis x plus 2 right parenthesis squared plus left parenthesis y minus 6 right parenthesis squared equals 4

(x−6)2+(y−2)2=16
left parenthesis x minus 6 right parenthesis squared plus left parenthesis y minus 2 right parenthesis squared equals 16
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Answer 1

(x−2)² + (y+2)² = 16

Center is (2, −2) and a point on the circle 4 units away (radius = 4), so r² = 16 and equation is (x−h)²+(y−k)²=r² → (x−2)²+(y+2)²=16.