Question

Write the standard equation of the circle with the given Center and radius:

Answer 1

9514 1404 393

Answer:

  B.  (x +4)² +(y +5)² = 64

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Filling in your given values, you have ...

  (x -(-4))² +(y -(-5))² = 8²

Simplifying, you get ...

  (x +4)² +(y +5)² = 64 . . . . . . . matches choice B

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Additional comment

As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.