Equations of Circles

Write the equation of a circle with center (7, 0) with radius 3.

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

What is the equation of the circle?

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

Select the matching graph.

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The equation of a circle is derived from

• gradient-intercept forumla

• point-slop form

• distance formula

• quadratic equation

Which graph corresponds to 
(x)²+ (y-6)²=9

• A

• B

• C

• D

Which graph corresponds to (x - 8)²+ (y + 2)² = 4

• A

• B

• C

• D

Which graph corresponds to

x² + (y - 6)² = 9

• A

• B

• C

• D

Which graph corresponds to 
(x-4)²+ (y+4)²=25

• A

• B

• C

• D

What is the standard equation of a circle?

• (x-k)² + (y-h)² = r²

• (x+h)² + (y+k)² = r²

• (x-h)² + (y-k)² = r²

• (k-x)² + (h-y)² = r²