makilaroberts2004 makilaroberts2004
  • 13-05-2021
  • Mathematics
contestada

Write the equation in standard form for the circle with center (-5, 3) and radius 10.

Respuesta :

VirαtKσhli
VirαtKσhli VirαtKσhli
  • 14-05-2021

Answer:

x² + y² +10x -6y - 69 = 0

Step-by-step explanation:

We need to write the standard equation of circle with , centre (-5,3) and radius 10 unit . The Standard equation of the circle ⭕ is ,

=> ( x - (-5))² + (y -3)² = r²

=> ( x +5)² + (y-3)² = 10²

=> x² + 25 + 10x + y² +9-6y = 100

=> x² + y² +10x -6y + 31 = 100

=> x² + y² +10x -6y - 69 = 0

• Hence the equation of the circle is x² + y² +10x -6y - 69 = 0.

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