What is the radius of a circle if its equation is $$(x + 1)^2 + (y - 4)^2 = 36$$ ?

The radius is 6, since $$r^2 = 36$$ .

In the equation $$(x - 1)^2 + (y - 2)^2 = 9$$ , what is the radius?

The radius is 3, since $$r^2 = 9$$ .

How do you determine if a point (x, y) lies inside a circle with center (h, k) and radius r?

Check if $$(x - h)^2 + (y - k)^2

What is the equation of a circle with center (4, 3) and diameter 10?

The equation is $$(x - 4)^2 + (y - 3)^2 = 25$$ .

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

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

In the equation $$(x - 3)^2 + (y + 4)^2 = 64$$ , what is the radius?

The radius is 8, since $$r^2 = 64$$ .

Circles - Conics Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard equation of a circle with center (h, k) and radius r?

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

The center is (3, -2).

4.

FLASHCARD QUESTION

Front

What is the diameter of a circle if its radius is 5?

Back

5.

FLASHCARD QUESTION

Front

What is the equation of a circle with center (0, 0) and radius 4?

Back

6.

FLASHCARD QUESTION

Front

If the center of a circle is at (2, -3) and the radius is 7, what is the equation?

Back

7.

FLASHCARD QUESTION

Front

What does the term 'conic section' refer to?

Back

Conic sections are the curves obtained by intersecting a cone with a plane, including circles, ellipses, parabolas, and hyperbolas.

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