Mastering Circle Equations

Mastering Circle Equations

10th Grade

10 Qs

quiz-placeholder

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Mastering Circle Equations

Mastering Circle Equations

Assessment

Quiz

Others

10th Grade

Practice Problem

Hard

Created by

Erlinda Galedo

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the standard form of the equation of a circle?

(x + h)² + (y + k)² = r²

x² + y² = r²

(x - h)² + (y - k)² = r²

(x - h)(y - k) = r²

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the center (3, -2) and radius 5, write the equation of the circle.

(x + 3)² + (y - 2)² = 20

(x - 3)² + (y + 2)² = 30

(x + 3)² + (y + 2)² = 25

(x - 3)² + (y + 2)² = 25

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert the equation x^2 + y^2 - 6x + 4y - 12 = 0 to standard form.

(x + 3)^2 + (y - 2)^2 = 16

(x + 3)^2 + (y + 2)^2 = 30

(x - 3)^2 + (y - 2)^2 = 20

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the center and radius of the circle given by (x - 1)^2 + (y + 3)^2 = 16.

Center: (1, -2), Radius: 6

Center: (1, -3), Radius: 4

Center: (2, -3), Radius: 3

Center: (0, -4), Radius: 5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the point (2, 1) lies on the circle x^2 + y^2 = 10.

It lies on the circle

The point is outside the circle

No

Yes

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write the equation of a circle with center at (0, 0) and radius 7.

x² + y² = 49

x² + y² = 14

(x - 7)² + (y - 7)² = 0

x² + y² = 56

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the equation of a circle is (x + 4)^2 + (y - 1)^2 = 25, what is the center?

(-4, 1)

(-4, -1)

(4, -1)

(0, 1)

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