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The graph of the equation LaTeX: x^2+y^2-20x+14y+28=0 x 2 + y 2 − 20 x + 14

Home/Math/The graph of the equation LaTeX: x^2+y^2-20x+14y+28=0 x 2 + y 2 − 20 x + 14

The graph of the equation LaTeX: x^2+y^2-20x+14y+28=0 x 2 + y 2 − 20 x + 14

Question

The graph of the equation LaTeX: x^2+y^2-20x+14y+28=0
x
2
+
y
2
−
20
x
+
14
y
+
28
=
0
is a circle. What is the radius of this circle?
Group of answer choices

## Answers ( )

Answer:radius = 11

Step-by-step explanation:The equation of a circle in general form is

x² + y² + 2gx + 2fy + c = 0

with radius =

x² + y² – 20x + 14y + 28 = 0 ← is in general form

with 2g = – 20 ⇒ g = – 10

2f = 14 ⇒ f = 7 and c = 28, thus

radius = = = = 11