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Write an equation of the circle with center (-6, 2) and diameter 10.


Sagot :

Solution:

We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).

Finding the radius of the circle.

  • Diameter: 10 units
  • Radius: 10/2 units = 5 units

Creating the equation:

  • (x – h)² + (y – k)² = r²
  • => (x + 6)² + (y – 2)² = 5²

The equation is (x + 6)² + (y – 2)² = 5².

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