Circles Flashcards

1
Q

What is the standard form equation for circles?

A

(x-h)2 + (y-k)2 = r2

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2
Q

In (x-h)2 + (y-k)2 = r2

What does the equation say about the circle?

A

Center is at (h,k). Radius is r.

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3
Q

What is the center and radius?

(x-3)2 + (y+5)2=9

A

Center: (3, -5)

Radius: 3

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4
Q

Find the center and radius of:

x2+ y2 − 12x − 16y + 51 = 0

ALGEBRAICALLY

A
  1. x2+ y2 − 12x − 16y + 51 = 0
  2. x2 - 12x + 36 + y2 -16y + 64 = -51 + 36 + 64
  3. (x-6)2 + (y-8)2 =49
  4. Center is (6,8). Radius is 7.
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5
Q

Relationship between circles and ellipses

A

Every circle is an ellipse.

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