Circle Equation

Circle Equation

10th Grade

10 Qs

quiz-placeholder

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Equation of a Circle

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Circle Equation

Circle Equation

Assessment

Quiz

Mathematics

10th Grade

Hard

Created by

Anthony Clark

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

(x - 2)2 + (y + 5)2 = 36

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

(x + 5)2 + (y - 2)2 = 36

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

x2+y2=4

x2+y2=81

x2+y2=9

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In the equation (x+2)2+(y-3)2=4, the center of the circle is at...

(-2, 3)

(-3, 2)

(2, -3)

(3, -2)

4.

MULTIPLE CHOICE QUESTION

1 min • 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 QUESTION

1 min • 1 pt

Determine the equation of the circle in standard form:

x² + y² + 4x + 6y - 36 = 0

(x + 2)2 + (y + 3)2 = 49

(x + 2)2 + (y + 3)2 = 13

(x - 2)2 + (y - 3)2 = 49

(x - 2)2 + (y - 3)2 = 13

6.

OPEN ENDED QUESTION

1 min • 1 pt

Write the equation of a circle in standard form given the endpoints of the diameter to be (4, -3) and (10, 5)

Evaluate responses using AI:

OFF

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the center of the circle if the endpoints of a diameter of the circle are at (-12, -7) and (3, 5).

(-9/2, -1)

(-15/2, -6)

(9/2, 1)

(15/2, 6)

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