Question

A circle is centered at (-6,3) and has a radius of 11. Where does the point (3,-3) lie?

Answer 1

As we can see that the distance of the given point is less than the radius,

The point lies inside the circle

Step-by-step explanation:

We will use the distance formula to find the distance between the centre of the circle and the given point. If the distance is less than the radius, the point lies inside the circle. If the distance is equal to the radius then the point lies on the circle. If the distance is greater than the radius of the circle, then the point will be out of the circle.

Given

(-6,3) = (x1,y1)

(3,-3) = (x2, y2)

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\= \sqrt{(3-(-6))^2+(-3-3)^2}\\=\sqrt{(3+6)^2+(-6)^2}\\=\sqrt{(9)^2+36}\\=\sqrt{81+36}\\=\sqrt{117}\\=10.81$

As we can see that the distance of the given point is less than the radius,

The point lies inside the circle

Keywords: Circle, Equation of circle

Learn more about circle at:

• brainly.com/question/11280112
• brainly.com/question/11286417

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