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center:
5. Identify the center and radius defined by the equation x² + y²= 400
radius:
center:​

Sagot :

Chaser27go

GIVEN:

[tex]x {}^{2} + y {}^{2} = 400[/tex]

SOLUTION:

[tex]x {}^{2} + y {}^{2} = 400[/tex]

CIRCLE EQUATION

[tex](x - a) + (y - b) {}^{2} = r {}^{2} [/tex]

IS THE CIRCLE EQUATION WITH A RADIUS R, CENTERED AT

[tex](A,B)[/tex]

REWRITE

[tex]x {}^{2} + y {}^{2} = 400[/tex]

IN THE FORM OF THE STANDARD CIRCLE EQUATION

[tex](x - 0) + (y - 0) {}^{2} = 20 {}^{2} [/tex]

THERE FOR THE CIRCLE PROPERTIES ARE:

[tex](a,b)=(0,0),r=20[/tex]

FINAL ANSWER:

[tex]\large\orange{\boxed{Center(0,0)}}[/tex]

[tex]\large\green{\boxed{Radius=20}}[/tex]

(/^_^)/

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