What is the formula for the circumference of a circle?

The circumference is given by $$C = 2\text{π}r$$ .

How do you find the area of a shaded region between two circles?

Subtract the area of the smaller circle from the area of the larger circle: $$A = \text{π}R^2 - \text{π}r^2$$ .

What is the equation of a circle with center (0, 0) and radius 10?

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

What is the formula to convert the general form of a circle's equation to standard form?

Complete the square for both x and y terms in the equation $$Ax^2 + Ay^2 + Bx + Cy + D = 0$$ .

What is the area of a circle with a radius of 3 inches?

The area is $$A = \text{π}(3^2) = 9\text{π} \text{ in}^2$$ .

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

From the equation $$(x - h)^2 + (y - k)^2 = r^2$$ , the radius is $$r = \text{sqrt}(r^2)$$ .

What is the significance of the center in the equation of a circle?

The center (h, k) determines the location of the circle in the coordinate plane.

What is the area of a circle with a diameter of 10 units?

The radius is 5 units, so the area is $$A = \text{π}(5^2) = 25\text{π} \text{ units}^2$$ .

Equations of circles and such. 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

What is the area of a circle with radius r?

Back

3.

FLASHCARD QUESTION

Front

How do you find the diameter of a circle if you know the radius?

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

What is the equation of a circle centered at the origin with a radius of 5?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What does it mean if a line has an undefined slope?

Back

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