Equation of Circle from Points

What is the equation for this circle?

• (x+1)+(y+1)=9

• x²+y²=9

• x+y=9

Tags

CCSS.HSG.GPE.A.1

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

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Write 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

Tags

CCSS.HSG.GPE.A.1

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x - 5)² + (y + 2)² = 6

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with following points that lie on the circle; (-11, 13), (-11, 3), and (-5, 9).

Tags

CCSS.HSG.GPE.A.1

The endpoints of a diameter of a circle are (3,1) and (9,5). Find the equation of the circle.

• (x − 6)² + (y − 3)² = 13

• (x − 3)² + (y − 6)² = 169

• (x − 5)² + (y − 9)² = 13

• (x − 9)² + (y − 5)² = 42.25

Tags

CCSS.HSG.GPE.A.1

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

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

The equation of a circle is derived from

• gradient-intercept forumla

• point-slop form

• distance formula

• quadratic equation

Tags

CCSS.HSG.GPE.A.1

Point B is located on circle A, as shown below. Determine the equation of circle A.

Tags

CCSS.HSG.GPE.A.1

When graphed, circle C has a diameter with endpoints on the circle at points A and B .

Which is the correct equation for circle C ?

Tags

CCSS.HSG.GPE.A.1