What is the degree measure of $$\frac{3\text{π}}{2}$$ radians?

The degree measure of $$\frac{3\text{π}}{2}$$ radians is 270°.

How do you convert radians to degrees?

To convert radians to degrees, multiply the radian measure by $$\frac{180}{\text{π}}$$ .

What is the equation of a circle that passes through the point (2, 3) and has a radius of 4?

The equation is $$(x-2)^2 + (y-3)^2 = 16$$ .

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

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

How do you complete the square for the equation of a circle?

To complete the square, rearrange the equation to group x and y terms, then add the necessary constants to both sides to form perfect squares.

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

The coefficients D, E, and F help determine the position and size of the circle when converted to standard form.

What is the equation of a circle with center (-5, 6) and radius 2?

The equation is $$(x+5)^2 + (y-6)^2 = 4$$ .

How do you determine if a point lies inside, outside, or on a circle?

Substitute the point into the circle's equation. If the result is less than r^2, the point is inside; if equal, on the circle; if greater, outside.

What is the formula for the circumference of a circle?

The formula for the circumference is $$C = 2\text{π}r$$ , where r is the radius.

Geo Unit 6B Flashcards

Student preview

15 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 convert degrees to radians?

Back

Tags

CCSS.HSF.TF.A.1

3.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.GPE.A.1

4.

FLASHCARD QUESTION

Front

Back

The center of the circle is (3, -2).

Tags

CCSS.HSG.GPE.A.1

5.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.GPE.A.1

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.A.1

7.

FLASHCARD QUESTION

Front

What is the equation of a circle with center (0, 0) and radius 5?

Back

Tags

CCSS.HSG.GPE.A.1

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