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A circle is centered at Q(1,-5) and has a radius of 5.
Where does the point Y (4,1) lie?

Sagot :

Sreedevi102idn

Answer:

The point lies outside the circle.

Step-by-step explanation:

To find where the point lies find the distance between the centre of the circle and the point :

[tex]Distance , QY = \sqrt{(4-1)^2 + (1-(-5))^2}[/tex]

                     [tex]= \sqrt{3^2 + 6^2}\\\\= \sqrt{9 + 36 } \\\\= \sqrt{45} = 6.71[/tex]

Since distance between Centre, Q and the point, Y is greater than the radius of the circle , the point lies outside the circle.

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