1.1 Circles

What is the standard equation of a circle?

• (x-k)² + (y-h)² = r²

• (x+h)² + (y+k)² = r²

• (x-h)² + (y-k)² = r²

• (k-x)² + (h-y)² = r²

Tags

CCSS.HSG.GPE.A.1

What does (h,k) standard for in the standard circle equation?

• (h,k) is the center of the circle

• (h,k) is a point on the circle.

• (h,k) is a point that we guess and find

• (h,k) is the distance of the circle

Tags

CCSS.HSG.GPE.A.1

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

Which graph corresponds to

(x+2)²+ (y-3)²=36

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle graphed

• (x-2)^2+(y+5)^2=9
• (x+2)^2+(y+5)^2=9
• (x-2)^2+(y-5)^2=9
• (x-2)^2+(y-5)^2=3

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 5 and center (-3, 4)?

• (x+3)² + (y-4)² = 5

• (x-3)² + (y-4)² = 25

• (x+3)² + (y-4)² = 25

• (x-3)² + (y+4)² = 5

Tags

CCSS.HSG.GPE.A.1

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

• x²+y²=3
• x²+y²=6
• x²+y²=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

In order to convert from general form to center-radius form, you must ___________. 

• Multiply out
• expand
• factor
• complete the square

Tags

CCSS.HSG.GPE.A.1

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

• 4
• 2
• 8

Tags

CCSS.HSG.GPE.A.1