Equations of Circles

What is the equation of the circle with a radius of 5 and center at (2, 3)?

• (x + 2)² + (y + 3)² = 25

• (x + 2)² + (y + 3)² = 5

• (x − 2)² + (y − 3)² = 25

• (x − 2)² + (y − 3)² = 5

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle given the equation  x²+y²-10x+8y-23=0?

• r=64

• r=8

• r=

  √23

• r=

  √41

Tags

CCSS.HSG.GPE.A.1

Given a circle with the equation

(x−2)²+(y+6)²=36 ,

which of the following represents the center and radius of the circle?

• center (−2, 6); radius = 6

• center (2, −6); radius = 6

• center (−2, 6); radius = 36

• center (2, −6); radius = 36

Tags

CCSS.HSG.GPE.A.1

A circle is represented by the equation 

(x−1)²+(y+5)²=6 . Which of the following shows the location of the center of the circle and its radius?

• center (1, -5); radius=

  √6

• center (1, 5); radius = 6

• center (−1, −5); radius = 6

• center (1, 5); radius =

  √6

Tags

CCSS.HSG.GPE.A.1

A circle is represented by the equation  x²+y²+4x+6y-36=0? . Which of the following shows the location of the center of the circle?

• center (2, 3)

• center (-2, -3)

• center (4, 6)

• center (−4, −6)

Tags

CCSS.HSG.GPE.A.1

Which equation represents a circle whose center is located at (−6,2) and whose radius is √10 units?

• (x+6)²+(y−2)²=10

• (x−6)²+(y+2)²=10

• (x+6)²+(y−2)²=√10

• (x−6)²+(y+2)²=√10

Tags

CCSS.HSG.GPE.A.1