Find the radius of the circle if the center is at (1, 2) and the point (-5, 6) lies on the
circle
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Answer:
The radius of the circle is 7.21 units and option C is correct.
Step-by-step explanation:
It is given that center of the circle is at (1, 2) and the point (-5, 6) lies on the circle.
We need to find the radius of the circle. It means we have to o find the distance between (1,2) and (-5,6).
Using distance formula, we get
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]Radius=\sqrt{(-5-1)^2+(6-2)^2}[/tex]
[tex]Radius=\sqrt{(-6)^2+(4)^2}[/tex]
[tex]Radius=\sqrt{36+16}[/tex]
[tex]Radius=\sqrt{52}[/tex]
[tex]Radius=7.2111[/tex]
[tex]Radius\approx 7.21[/tex]
Therefore the radius of the circle is 7.21 units and option C is correct.