Respuesta :

Given equation of circle:

  • (x + 4)² + (y - 6)² = 25

[tex]\large\underline{\text{Coordinates of a circle formula:}}[/tex]

  • (x – h)² + (y – k)² = r²

Where:

  • The x-coordinate of the center point is known as "h"
  • The y coordinate of the center point is known as "k"
  • The radius of the circle is known as r.

Radius of the circle:

Let us assume that the given equation is equivalent to the formula, as the given equation is obtained from the formula. Therefore,

  • (x – h)² + (y – k)² = r²        =        (x + 4)² + (y - 6)² = 25

Therefore, we get;

  • ⇒ r² = 25

Taking square root on both sides;

  • ⇒ √r² = √25
  • ⇒ r = 5 units

Therefore, the radius of the circle is 5 units.

Learn more about this topic; https://brainly.com/question/950369

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