karliereesej karliereesej
  • 31-07-2019
  • Mathematics
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A circle is centered at (-6,3) and has a radius of 11. Where does the point (3,-3) lie?

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MathPhys
MathPhys MathPhys
  • 31-07-2019

Answer:

Inside the circle

Step-by-step explanation:

Use the distance formula to find the distance between the center and the point.

d = √((x₁ − x₂)² + (y₁ − y₂)²)

d = √((-6 − 3)² + (3 − (-3))²)

d = √((-9)² + (6)²)

d = √(81 + 36)

d = √117

d ≈ 10.817

This is less than the radius of 11, so the point is inside the circle.

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