Circles Equations and Tangents

Write the equation of a circle with center (h,k) and radius r.

• x^2 + y^2  = r^2

• (x + h)^2 +  (y + h)^2 = r^2

• (x - h)^2 + (y - k)^2 = r^2

• (x - h)^2 - (h - k)^2 = r^2

Tags

CCSS.HSG.GPE.A.1

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

Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

• 4

• 2

• 3

• 16

Tags

CCSS.HSG.GPE.A.1

• parallel

• perpendicular

• congruent

• touching exactly once

What is the value of x?

• 22

• 25

• 15

• 20

Tags

CCSS.HSG.C.A.2

If CE = 125 and CD = 44, Find DE.

Tags

CCSS.HSG.C.A.2

Line AC  is tangent to Circle O at point C.
Find AC.

Tags

CCSS.HSG.C.A.2

Line AC is tangent to Circle O at C.

Find AB.

Tags

CCSS.HSG.C.A.2

If the radius of circle Q is 5 and PR = 12, Find PQ.

Tags

CCSS.HSG.C.A.2

Find AC. (Do not include units.)

Tags

CCSS.HSG.C.A.2