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Select the correct answer.Circle F is represented by the equation (x+6)2 + (y+ 8)2 = 9. What is the length of the radius of circle F?OA. 3OB. 9OC.10O D. 81

Select The Correct AnswerCircle F Is Represented By The Equation X62 Y 82 9 What Is The Length Of The Radius Of Circle FOA 3OB 9OC10O D 81 class=

Sagot :

SOLUTION

[tex](x+6)^2+(y+8)^2=9[/tex]

Recall that the equation of circle is given as;

[tex]\begin{gathered} (x-a)^2+(y-b)^2=r^2 \\ where \\ (a,b)\text{ is the centre} \\ r\text{ is the radius.} \end{gathered}[/tex]

Considering our question;

[tex]\begin{gathered} (x-(-6))^2+(y-(-8))^2=3^2 \\ \Rightarrow r=3 \end{gathered}[/tex]

The radius of the circle is 3 units