Equations of Circles

Equations of Circles

Assessment

Assessment

Created by

TRENT POPE

Mathematics

9th - 10th Grade

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10 questions

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1.

Multiple Choice

15 mins

1 pt

A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.

(x - 6)2 + (y + 4)2 = 49

(x + 4)2 + (y - 6)2 = 49

(x - 6)2 + (y + 4)2 = 55

x2 + y2 = 55

2.

Multiple Choice

15 mins

1 pt

The equation of a circle is x2 + y2 + 6x - 12y + 20 = 0. Write the equation in standard form.

(x - 3)2 + (y + 6)2 = 25

(x + 3)2 + (y - 6)2 = 25

(x - 3)2 + (y + 6)2 = 45

(x + 3)2 + (y - 6)2 = 5

3.

Multiple Choice

15 mins

1 pt

A circle has the equation x2 + y2 + 10x - 4y + 20 = 0. Write it in standard form.

(x - 5)2 + (y + 2)2 = 9

(x + 5)2 + (y - 2)2 = 3

(x + 5)2 + (y - 2)2 = 9

(x - 5)2 + (y + 2)2 = 3

4.

Multiple Choice

15 mins

1 pt

Find the center and radius of the circle: x2 + y2 + 14x - 2y = -1.

center = (-7, 2) radius = 3

center = (-7, 1) radius = 7

center = (-4, 1) radius = 7

center = (-4, 2) radius = 3

5.

Multiple Choice

15 mins

1 pt

Determine the center and radius:
x+ y- 10x + 8y -8 = 0

C = (5,-4) r = 7

C = (-5,4) r = 7

C = (-4,5) r = 49

C = (5,-4) r = 49

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