Acircle is centered at c(−1,−3) and has a radius of 6.where does the point p(-6,-6) lie?

The equation of circle is

.   -------- (h, k) is the center of the circle.

The point is inside the circle if the distance from it to the centre is less than the radius. Symbolically, this is

and point is outside the circle if the distance from it to the centre is great than the radius. Symbolically, this is

and if this distance is equal to r then it lies on the cirlce.Symbolically, this is

now by putting the value of (x , y) and (h,k)

since our r is 6 and

=5.8 < 6

So the point (-6 , -6) is inside the circle.

the correct answer is c. analytical reasoning. it is when you analyze the situation to form conclusions.

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