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Circle Equation Skills

Authored by Sayra Madrid

Mathematics

11th Grade

Used 1+ times

Circle Equation Skills
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the center of a circle with equation (x-3)^2 + (y+4)^2 = 25?

(3, 4)

(3, -1)

(0, -4)

(3, -4)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calculate the radius of a circle with equation (x+2)^2 + (y-1)^2 = 36.

6

10

8

4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write the standard form equation of a circle with center at (-1,5) and radius 7.

(x + 1)^2 + (y + 5)^2 = 49

(x - 1)^2 + (y - 5)^2 = 7

(x + 1)^2 + (y - 5)^2 = 49

(x - 1)^2 + (y + 5)^2 = 49

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the radius of a circle affect the equation in standard form?

The radius affects the equation by determining the value of r^2 in the standard form equation of a circle.

The radius affects the equation by determining the value of pi in the standard form equation of a circle.

The radius affects the equation by determining the value of the diameter in the standard form equation of a circle.

The radius affects the equation by determining the value of the circumference in the standard form equation of a circle.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Graph the circle with equation (x-1)^2 + (y+3)^2 = 16 on the coordinate axes.

The circle is centered at (2, -2) with a radius of 3.

The circle is centered at (0, 0) with a radius of 5.

The circle with equation (x-1)^2 + (y+3)^2 = 16 is centered at (1, -3) with a radius of 4.

The circle is centered at (-1, 3) with a radius of 6.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the center of the circle given the equation (x+5)^2 + (y-2)^2 = 49.

(5, -2)

(0, 0)

(-5, 2)

(3, 4)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the radius of a circle is 10, what is the equation in standard form if the center is at (3,-4)?

(x - 3)^2 + (y - 4)^2 = 100

(x - 3)^2 + (y + 4)^2 = 10

(x - 3)^2 + (y + 4)^2 = 100

(x + 3)^2 + (y - 4)^2 = 100

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