Quiz about Equations of Circles

Question 1

What is the standard equation of a circle?

Accepted Answer

(x-h)² + (y-k)² = r²

Answer

(x-k)² + (y-h)² = r²

Answer

(x+h)² + (y+k)² = r²

Answer

(k-x)² + (h-y)² = r²

Question 2

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

Accepted Answer

(h,k) is the center of the circle

Answer

(h,k) is a point on the circle.

Answer

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

Answer

(h,k) is the distance of the circle

Question 3

What does the r in the standard equation stand for?

Accepted Answer

r is the radius of the circle

Answer

r is the distance of the circle

Answer

r is the x coordinate of the center of the circle

Answer

r is the y coordinate of the center of the circle

Question 4

What is the center and the radius of the circle with equation, (x-4)² + (y-2)² = 25

Accepted Answer

Center is (4, 2) and radius is 5

Answer

Center is (5,2) and radius is 4.

Answer

Center is (2,5) and radius is 4

Answer

Center is (2,4) and radius is 5

Question 5

What is the center and radius of a circle with the equation, (x-1)² + (y-3)² = 4

Accepted Answer

Center is (1,3) and radius is 2

Answer

Center is (3,1) and radius is 2

Answer

Center is (3,2) and radius is 1

Answer

Center is (2,3) and radius is 1

Question 6

What is the center and radius of a circle with an equation (x+5)² + (y-1)² = 64

Accepted Answer

Center is (-5, 1) and radius is 8

Answer

Center is (5,1) and radius is 8

Answer

Center is (-1, 5) and radius is 8

Answer

Center is (-5,-1) and radius is 8

Question 7

What is the center and radius of a circle with an equation (x+2)² + (y+4)² = 1

Accepted Answer

Center is (-2, -4) and radius is 1

Answer

Center is (2,4) and radius is 1

Answer

Center is (2,-4) and radius is 1

Answer

Center is (-2, 4) and radius is 1

Question 8

What is the circle equation, given the center is (4,1) and the radius is 3?

Accepted Answer

(x-4)² + (y-1)² = 9

Answer

(x+4)² + (y+1)² = 9

Answer

(x+1)² + (y+4)² = 9

Answer

(x-1)² + (y-4)² = 9

Question 9

What is the equation of a circle, given the center is (-2, 3) and the radius is 4?

Accepted Answer

(x+2)² + (y-3)² = 16

Answer

(x+2)² + (y-3)² = 2

Answer

(x-2)² + (y+3)² = 16

Answer

(x-2)² + (y-3)² = 2

Question 10

What is the equation of a circle given the center is (-5,7) with a radius of 5?

Accepted Answer

(x+5)² + (y-7)² = 25

Answer

(x-5)² + (y+7)² = 25

Answer

(x-5)² + (y-7)² = 25

Answer

(x+5)² + (y+7)² = 25

Question 11

Which equation matches the circle on the graph?

Accepted Answer

(x-2)²+(y+3)²=9

Answer

(x-2)²+(y+3)²=81

Answer

(x+3)²+(y-2)²=9

Answer

(x+3)²+(y-2)²=3

Question 12

Which equation matches the circle on the graph?

Accepted Answer

(x-3)²+(y-4)²=16

Answer

(x-5)²+(y-2)²=20

Answer

(x+3)²+(y+4)²=16

Answer

(x-9)²+(y-16)²=32

Question 13

Which equation matches the circle on the graph?

Accepted Answer

(x+5)²+(y+10)²=9

Answer

(x+2)²+(y+5)²=9

Answer

(x+10)²+(y+5)²=9

Answer

(x+5)²+(y+10)²=81

Question 14

Which equation matches the circle on the graph?

Accepted Answer

(x+2)²+y²=16

Answer

(x+2)²+x²=16

Answer

(x+4)²+y²=4

Answer

(x+20)²+y²=12

Question 15

Which equation matches the circle on the graph?

Accepted Answer

x2+y2=16

Answer

x2+y2=32

Answer

2x²+5y²=256

Answer

24x²+999y²=16

Equations of Circles

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