Circles Complete Square

What is the equation of the circle with the given information?

• A

• B

• C

• D

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

• A
• B
• C
• D

What do you do to the b value to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

The point (-5,6) is on a circle with center (-1,3) write the equation of the circle

• (x+1)² + (y-3)²= 4000

• (x+5)² + (y-0)²= 25

• (x+1)² + (y-3)²= 25

• (x-1)² + (y+3)²= 25

Which translation, when applied to the center of the circle x²+y²=4, creates the congruent circle x²+y²+8x-10y+37=0?

• Right 4 Up 5

• Right 4 Down 5

• Left 4 Down 5

• Left 4 Up 5

Does the point (4,5) lie on the circle whose center is (-2,-2) and radius 9?

• yes

• No

Choose the correct answer:
If the circumference of a circle and the perimeter of a square are equal, then

• Area of circle = Area of square

• Area of circle > Area of square

• Area of circle <Area of square 

• Nothing can be said about the relation of areas 

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

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