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Circle Equation Standard

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

What is the center of the circle with equation x2 + y2 = 1?

a)

(1, 1)

b)

(0, 0)

c)

1

2.

What is the equation of a circle with radius 4 and center (0, 8)?

a)

x2 + (y-8)2 = 16

b)

(x-8)2 + y2 = 4

c)

x2 + (y-8)2 = 4

d)

x2 + (y+8)2 = 16

3.

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

a)

x2 + y2 = 4

b)

x2 + y2 = 81

c)

x2 + y2 = 9

d)

x2 + y2 = 3

4.

What is the radius of the circle with equation x2 + y2 = 1?

a)

0

b)

0.5

c)

1

d)

2

5.

Which of the following is the standard equation of the circle given the conditions: center at the origin with radius 4

a)

x2 + y2 = 4

b)

x2 + y2 = 8

c)

x2 + y2 = 16

d)

x2 + y2 = 64

6.

Which of the following is the standard equation of the circle given the conditions: center at (-4, 3) and radius at √7

a)

(x + 4)2 + (y - 3)2 = √7

b)

(x + 4)2 + (y - 3)2 = 7

c)

(x - 4)2 + (y + 3)2 = √7

d)

(x - 4)2 + (y + 3)2 = 7

7.

What is the equation for this circle?

a)

(x+1)2+(y+1)2=9

b)

x2+y2=9

c)

x2+y2=6

d)

x2+y2=3

8.

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

a)

(h,k) is the center of the circle

b)

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

c)

(h,k) is the radius of the circle

d)

(h,k) is the diameter of the circle

9.

Which graph corresponds to 
(x)2+ (y-6)2=9

a)

A

b)

B

c)

C

d)

D

10.

Which graph corresponds to (x+2)2+ (y-3)2=36

a)

A

b)

B

c)

C

d)

D