cupofwaterr101
cupofwaterr101 cupofwaterr101
  • 20-05-2021
  • Mathematics
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What is the equation of the circle with: center (5, 7) & point on the circle: (-2, 8)?

Respuesta :

colinspurdle colinspurdle
  • 21-05-2021

Answer: (x - 5)^2 + (y - 7)^2 = 50

Step-by-step explanation:

The general equation for a circle is (x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre

Use Pythagoras to find r^2

r^2 = (5 - -2)^2 + (7 - 8)^2

= 7^2 + (-1)^2

= 50

So the circle is (x - 5)^2 + (y - 7)^2 = 50

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