Free Printable Circle

1.

1. Identify the center and radius of the circle with the given equation x²+y²=1/4

a)

C (1, 1) ; r= $\frac{1}{4}$

b)

C (-1, -1) ; r= $-\frac{1}{4}$

c)

C (-1, 1) ; r= $\frac{1}{2}$

d)

C (0, 0) ; r= $\frac{1}{2}$

2.

2. Identify the center and radius of the circle with the given equation $5x^2+5y^2=125$

a)

C ( $\frac{1}{5}$ , $\frac{1}{5}$ ) ; r = 25

b)

C ( $-\frac{1}{5}$ , $-\frac{1}{5}$ ) ; r = 25

c)

C (0, 0) ; r = $5$

d)

C (0, 0) ; r = $-5$

3.

3. Identify the center and radius of the circle with the given equation $(x+4)^2+\left(y−\frac{3}{4}\right)^2=1$

a)

C ( $-4$ , $\frac{3}{4}$ ) ; r = 1

b)

C ( $4$ , $-\frac{3}{4}$ ) ; r = 1

c)

C ( $-4$ , $-\frac{3}{4}$ ) ; r = 1

d)

C ( $4$ , $\frac{3}{4}$ ) ; r = 1

4.

4. Identify the center and radius of the circle with the given equation $x^2−4x+y^2−4y−8=0$

a)

C ( $2$ , $2$ ) ; r = 4

b)

C ( $2$ , $-2$ ) ; r = 4

c)

C ( $-2$ , $2$ ) ; r = 4

d)

C ( $-2$ , $-2$ ) ; r = 4

5.

5. Identify the center and radius of the circle with the given equation $x^2+y^2−14x+12y=36$

a)

C ( $-7$ , $6$ ) ; r = 11

b)

C ( $7$ , $-6$ ) ; r = 11

c)

C ( $-7$ , $-6$ ) ; r = 11

d)

C ( $7$ , $6$ ) ; r = 11

6.

6. Identify the center and radius of the circle with the given equation $x^2+10x+y^2−16y−11=0$

a)

C ( $-5$ , $-8$ ) ; r = 10

b)

C ( $5$ , $8$ ) ; r = 10

c)

C ( $5$ , $-8$ ) ; r = 10

d)

C ( $-5$ , $8$ ) ; r = 10

7.

7. Identify the center and radius of the circle with the given equation $9x^2+36x+9y^2+72y+155=0$

a)

C ( $-2$ , $-4$ ) ; r = $\frac{5}{3}$

b)

C ( $2$ , $-4$ ) ; r = $\frac{5}{3}$

c)

C ( $-2$ , $4$ ) ; r = $\frac{5}{3}$

d)

C ( $2$ , $4$ ) ; r = $\frac{5}{3}$

8.

8. Identify the center and radius of the circle with the given equation $9x^2+9y^2−6x+24y=19$

a)

C ( $\frac{1}{3}$ , $-\frac{4}{3}$ ) ; r = $2$

b)

C ( $-\frac{1}{3}$ , $-\frac{4}{3}$ ) ; r = $2$

c)

C ( $\frac{1}{3}$ , $\frac{4}{3}$ ) ; r = $2$

d)

C ( $-\frac{1}{3}$ , $\frac{4}{3}$ ) ; r = $2$

9.

9. Identify the center and radius of the circle with the given equation $16x^2+80x+16y^2−112y+247=0$

a)

C ( $-\frac{5}{2}$ , $-\frac{7}{2}$ ) ; r = $\frac{7}{4}$

b)

C ( $\frac{5}{2}$ , $\frac{7}{2}$ ) ; r = $\frac{7}{4}$

c)

C ( $-\frac{5}{2}$ , $\frac{7}{2}$ ) ; r = $\frac{7}{4}$

d)

C ( $\frac{5}{2}$ , $-\frac{7}{2}$ ) ; r = $\frac{7}{4}$

10.

10. Find the standard equation of the circle which satisfies the given conditions: center at the origin, radius $5\sqrt{3}$

a)

$x^2+y^2=75$

b)

$x^2-y^2=75$

c)

$-x^2+y^2=75$

d)

$-x^2-y^2=75$

11.

11. Find the standard equation of the circle which satisfies the given conditions: center at the origin, radius $center\ at\ (17,5),\ radius\ 12$

a)

$\left(x+17\right)^2+\left(y+5\right)^2=144$

b)

$\left(x-17\right)^2+\left(y+5\right)^2=144$

c)

$\left(x-17\right)^2+\left(y-5\right)^2=144$

d)

$\left(x+17\right)^2+\left(y-5\right)^2=144$

12.

12. Find the standard equation of the circle which satisfies the given conditions: center at the origin, radius $center\ at\ (−8,4),\ contains\ (−4,2)$

a)

$\left(x-8\right)^2+\left(y-4\right)^2=20$

b)

$\left(x+8\right)^2+\left(y+4\right)^2=20$

c)

$\left(x+8\right)^2+\left(y-4\right)^2=20$

d)

$\left(x-8\right)^2+\left(y+4\right)^2=20$

13.

13. Find the standard equation of the circle which satisfies the given conditions: center at the origin, radius $center\ at\ (15,−7),\tan gent\ to\ the\ x-axis$

a)

$\left(x-15\right)^2+\left(y+7\right)^2=49$

b)

$\left(x+15\right)^2+\left(y+7\right)^2=49$

c)

$\left(x-15\right)^2+\left(y-7\right)^2=49$

d)

$\left(x+15\right)^2+\left(y-7\right)^2=49$

14.

14. Find the standard equation of the circle which satisfies the given conditions: center at the origin, radius $center\ at\ (15,−7),\tan gent\ to\ the\ y-axis$

a)

$\left(x-15\right)^2+\left(y+7\right)^2=225$

b)

$\left(x+15\right)^2+\left(y+7\right)^2=225$

c)

$\left(x-15\right)^2+\left(y-7\right)^2=225$

d)

$\left(x+15\right)^2+\left(y-7\right)^2=225$

15.

15. Find the standard equation of the circle which satisfies the given conditions: center at the origin, radius $center\ at\ (15,−7),\tan gent\ to\ the\ line\ y=−10$

a)

$\left(x+15\right)^2+\left(y-7\right)^2=9$

b)

$\left(x+15\right)^2+\left(y+7\right)^2=9$

c)

$\left(x-15\right)^2+\left(y-7\right)^2=9$

d)

$\left(x-15\right)^2+\left(y+7\right)^2=9$

Circle

Total questions: 15

Worksheet time: 6mins

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