Equation of a Circle Geometry

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)

• (-3,-2)

• (-2,-3)

• (2,3)

Tags

CCSS.HSG.GPE.A.1

In the equation (x-4)²+(y-3)²=25, the radius is

• 4

• 25

• 5

• 3

Tags

CCSS.HSG.GPE.A.1

What is the length of the diameter of the circle represented by the equation (x+1)²+(y-5)²=36?

• 6

• 12

• 36

• 72

Tags

CCSS.HSG.GPE.A.1

For the equation of a circle (x-2)²+(y+3)²=49, what are the coordinates of its center?

• (2, 3)

• (-2, -3)

• (2, -3)

• (-2, 3)

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with center (7, 0) with radius 5.

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

​ (a)   ​ is the ​radius

​ (b)   ​ is x-coordinate of the center

​ (c)   ​ ​ is the y-coordinate of the center

• r

• k

• h

• x

• y

Tags

CCSS.HSG.GPE.A.1

Tags

CCSS.HSG.GPE.A.1

Write the standard equation of the circles for the following centers and radii: a. Center (0, 0), r = 2.5 ​ + ​ = ​

• 6.25

• 2.5

• 5

Tags

CCSS.HSG.GPE.A.1

Write the standard equation of the circle with center (3, −2) and radius 6 units.

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

• Center: (-9, 1)

• r=6

• Center: (9, -1)

• Center: (9, 1)

• Center: (-9, -1)

• r=36

• r=18

Tags

CCSS.HSG.GPE.A.1