Circle Standard Form

What is the coordinates of the centre and the radius of the circle with equation:
(x - a)² + (y - b)² = r² ?

• Centre (a,b)
  Radius = r^2 units

• Centre (-a,-b)
  Radius = r units

• Centre (a,b)
  Radius = r units

• Centre (-a,-b)
  Radius = r^2 units

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with equation:
(x - 1)^2 + (y - 2)^2 = 3^2 ?

• Centre (-1,-2)
  Radius = 3 units

• Centre (1,2)
  Radius = 3 units

• Centre (-1,-2)
  Radius = 9 units

• Centre (1,2)
  Radius = 9 units

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with equation:
(x - 4)^2 + (y - 3)^2 = 25^ ?

• Centre  (4,3)
  Radius = 5 units

• Centre  (4,3)
  Radius = 25 units

• Centre  (-4,-3)
  Radius = 25 units

• Centre  (-4,-3)
  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with equation:
(x + 3)^2 + (y + 1)^2 = 2^2 ?

• Centre  (-3,-1)
  Radius = 4 units

• Centre  (3,1)
  Radius = 2 units

• Centre  (-3,-1)
  Radius = 2 units

• Centre  (3,1)
  Radius = 4 units

Tags

CCSS.HSG.GPE.A.1

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

What is the standard form of a circle?

• ax²+by²+cx+dy+e=0

• ax²+by²+cx+dy=0

• ax²+by+cx+dy+e=0

• ax+by²+cx+dy+e=0

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

Write the standard form of the circle: 
x² + y² +10y = 39 

• x² + (y+5)² = 49

• x² + (y+5)² = 64

• (x+5)² + y² = 61

• (x+5)² + y² = 100

Tags

CCSS.HSG.GPE.A.1

How do you graph a circle given its equation in standard form?

• Connect the points on the graph to form a circle

• Plot the center and use the radius to plot points around it to form the circle.

• Use the equation to find the slope and intercept

• Graph the equation as a straight line

Tags

CCSS.HSG.GPE.A.1