Circle Equations

Find the equation of a circle whose center is at the point (-2 , 3) and its diameter has a length of 10.

Tags

CCSS.HSG.GPE.A.1

Find the center of the circle whose equation is given by

x ² + 4x + y ² - 8y = 5.

Tags

CCSS.HSG.GPE.A.1

Find an equation of the circle whose center is at the point (-4 , 6) and passes through the point (1 , 2).

Tags

CCSS.HSG.GPE.A.1

Find an equation of the circle whose center is at the point (2 , -5) and is tangent to the x axis.

Tags

CCSS.HSG.GPE.A.1

Find an equation of the circle whose diameter has endpoints at (-5 , 2) and

(3 , 6).

Tags

CCSS.HSG.GPE.A.1

Find the x intercepts of the graph of the circle given by the equation

x ² + 3x + y ² - 4y = 18

Write the intercepts as coordinates

Tags

CCSS.HSG.GPE.A.1

Is point A(-3 , 8) inside, outside or on the circle whose equation is given by

x ² + 4x + y ² - 8y = 5

• Inside the circle

• Outside the circle

• On the circle

Tags

CCSS.HSG.GPE.A.1

Find an equation of the circle that is tangent to both the x and y axes, with a radius of 4 and whose center is located in the second quadrant.

Tags

CCSS.HSG.GPE.A.1

Find the points of intersection of the circle with equation

(x - 2) ² + (y - 6) ² = 40

and the line with equation y = 3x

Tags

CCSS.HSA.REI.C.7