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

x2+y2=25
x squared plus y squared equals 25

(x+4)2+(y+3)2=25
left parenthesis x plus 4 right parenthesis squared plus left parenthesis y plus 3 right parenthesis squared equals 25

(x−4)2+(y−3)2=25
left parenthesis x minus 4 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 25

x2+(y−5)2=25

Answer 1

(x−4)² + (y−3)² = 25

Reason: The standard circle equation is (x−h)²+(y−k)²=r². Here the center is (4,3) and the radius is 5 (since 3-4-5), so (x−4)²+(y−3)²=25.