nana232 nana232
  • 23-04-2017
  • Mathematics
contestada

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

Respuesta :

irspow
irspow irspow
  • 23-04-2017
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...
Answer Link
cheyenneyork
cheyenneyork cheyenneyork
  • 05-12-2020

Answer:

Step-by-step explanation:

exterior

Answer Link

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