Write Equations of Circles

Write the equation of a circle on the xy-plane has a center of (-5,2) and a radius of 3:
(x-​ (a)   )² + (y-​ (b)   )² = ​ (c)  

• 2
• 9
• -5
• 5
• -2
• 3

Write the equation of a circle on the xy-plane has a center of (6,-8) and a radius of 9:
(x-​ (a)   )² + (y-​ (b)   )² = ​ (c)  

• -8
• 81
• 9
• 8
• -6
• 6

Write the equation of a circle on the xy-plane has a center of (-10,-3) and a radius of 5:
(x-​ (a)   )² + (y-​ (b)   )² = ​ (c)  

• 25
• -10
• 10
• 5
• 3
• -3

Write the equation of a circle on the xy-plane has a center of (5,1) and a radius of 6:
(x-​ (a)   )² + (y-​ (b)   )² = ​ (c)  

• 36
• -5
• -1
• 5
• 6
• 1

Write the equation of a circle on the xy-plane with a center at (-4,-12) and a radius of 2:
(x-​ (a)   )² + (y-​ (b)   )² = ​ (c)  

• -4
• -12
• 4
• 2
• 12

Write the equation of a circle on the xy-plane with a center at (2,-1) and a radius of 4:
(x-​ (a)   )² + (y-​ (b)   )² = ​ ​ (c)  

• -2
• -1
• 2
• 1
• 16
• 4

Write the equation of a circle on the xy-plane with a center at (-11,9) and a radius of 10:
(x-​ (a)   )² + (y-​ (b)   )² = ​ ​ (c)  

• -9
• 9
• -11
• 11
• 100
• 10

Write the equation of a circle on the xy-plane with a center at (-20,-5) and a radius of 2:
(x-​ (a)   )² + (y-​ (b)   )² = ​ ​ (c)  

• 20
• -5
• -20
• 5
• 4
• 2

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

G.5A, G.12D

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

G.5A, G.12D