Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? P(8, 4)

1 answer:

8 0

From the equation we see that the center of the circle is at (-2,3) and the radius is 9.

So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...

d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so

81=10^2+1^2

81=101 which is not true...

So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.

Thus the point lies outside or on the exterior of the circle...

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$\huge\text{Hey there!}$

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