What is the radius of a circle with the equation $$(x+2)^2 + (y-3)^2 = 36$$ ?

The radius is 6, since $$r = \text{sqrt}(36) = 6$$ .

What is the diameter of a circle with the equation $$(x-1)^2 + (y+4)^2 = 49$$ ?

The diameter is 14, since $$d = 2r = 2 \times \text{sqrt}(49) = 14$$ .

What is the radius of a circle with the equation $$(x-3)^2 + (y+1)^2 = 25$$ ?

The radius is 5, since $$r = \text{sqrt}(25) = 5$$ .

What is the significance of the value on the right side of the equation $$(x-h)^2 + (y-k)^2 = r^2$$ ?

The value on the right side, $$r^2$$ , represents the square of the radius of the circle.

What are the coordinates of the center of a circle with the equation $$x^2 + y^2 = 16$$ ?

The coordinates of the center are (0, 0).

What is the radius of a circle with the equation $$(x+1)^2 + (y-4)^2 = 64$$ ?

The radius is 8, since $$r = \text{sqrt}(64) = 8$$ .

What is the diameter of a circle with the equation $$(x-6)^2 + (y+3)^2 = 100$$ ?

The diameter is 20, since $$d = 2r = 2 \times \text{sqrt}(100) = 20$$ .

What are the coordinates of the center of a circle with the equation $$(x-2)^2 + (y+5)^2 = 36$$ ?

The coordinates of the center are (2, -5).

What is the radius of a circle with the equation $$(x-7)^2 + (y-1)^2 = 9$$ ?

The radius is 3, since $$r = \text{sqrt}(9) = 3$$ .

What is the general form of a circle's equation?

The general form of a circle's equation is $$x^2 + y^2 + Dx + Ey + F = 0$$ .

Circle Equations Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.GPE.A.1

2.

FLASHCARD QUESTION

Front

How do you find the center of a circle from its equation?

Back

Tags

CCSS.HSG.GPE.A.1

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.GPE.A.1

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.GPE.A.1

5.

FLASHCARD QUESTION

Front

Back

The coordinates of the center are (5, -2).

Tags

CCSS.HSG.GPE.A.1

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.GPE.A.1

7.

FLASHCARD QUESTION

Front

How do you convert the general form of a circle's equation to standard form?

Back

Tags

CCSS.HSG.GPE.A.1

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