What does the term $$r^2$$ represent in the circle equation?

The term $$r^2$$ represents the square of the radius of the circle.

What is the significance of the values h and k in the circle equation?

The values h and k represent the x and y coordinates of the center of the circle, respectively.

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

The equation is $$x^2 + y^2 = 49$$ .

Which of the following is true for the equation of a circle?

The equation is always of the form $$(x - h)^2 + (y - k)^2 = r^2$$ .

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

Complete the square for both x and y terms to rewrite the equation in standard form.

What is the distance formula used for in relation to circles?

The distance formula can be used to find the distance between the center of the circle and any point on the circle.

What is the relationship between the radius and the diameter of a circle?

The diameter is twice the radius, or $$d = 2r$$ .

If a circle has a radius of 10, what is the equation of the circle centered at (0, 0)?

The equation is $$x^2 + y^2 = 100$$ .

Circle Equation Flashcard II Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

Back

The center of the circle is (1, -2).

4.

FLASHCARD QUESTION

Front

Back

The radius of the circle is 5.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

How do you graph a circle given its equation?

Back

Identify the center (h, k) and radius r, then plot the center and draw a circle with radius r around it.

7.

FLASHCARD QUESTION

Front

Back

The radius of the circle is 3.

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