If the equation of a circle is $$(x+2)^2 + (y-4)^2 = 25$$ , what is the radius?

The radius is 5 units, since $$r^2 = 25$$ , thus $$r = \text{sqrt}(25) = 5$$ .

If a circle has a radius of 3 units, what is the area of the circle?

The area of the circle is $$A = \text{pi} r^2 = \text{pi} (3^2) = 9\text{pi}$$ square units.

What is the formula for the circumference of a circle?

The circumference of a circle is given by the formula $$C = 2\text{pi} r$$ .

What is an exterior angle of a circle?

An exterior angle of a circle is formed by two secants or tangents that intersect outside the circle.

How do you calculate the measure of an exterior angle formed by two secants?

The measure of an exterior angle is equal to half the difference of the measures of the intercepted arcs: $$\text{Exterior Angle} = \frac{1}{2} (mArc1 - mArc2)$$ .

What is the relationship between the angles formed by two intersecting chords inside a circle?

The measure of an angle formed by two intersecting chords is equal to the average of the measures of the arcs intercepted by the angle and its vertical angle.

If two tangents are drawn from a point outside a circle, what can be said about their lengths?

The lengths of the two tangents drawn from a point outside the circle to the points of tangency are equal.

What is the significance of the point (h, k) in the circle's equation?

The point (h, k) represents the center of the circle in the standard equation $$(x-h)^2 + (y-k)^2 = r^2$$ .

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

To convert from general form $$Ax^2 + Ay^2 + Bx + Cy + D = 0$$ to standard form, complete the square for both x and y terms.

Exterior Angles of Circles 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 center of a circle from its equation?

Back

3.

FLASHCARD QUESTION

Front

What does the radius of a circle represent in its equation?

Back

The radius of a circle represents the distance from the center to any point on the circle, and is denoted by r in the equation.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

The center of the circle is (1, -3).

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

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

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

13 questions

7517 03 Basic Operations in Programming Languages

Flashcard

•

9th Grade - University

12 questions

Like to vs Would like to - course 6 (2H)

Flashcard

•

9th - 12th Grade

10 questions

Smart Online Shopper

Flashcard

•

KG - University

12 questions

Legal Writing Memo Flashcard

Flashcard

•

KG - University

12 questions

American Revolution

Flashcard

•

8th - 12th Grade

9 questions

Special Places

Flashcard

•

KG - University

14 questions

CADEIA ALIMENTAR

Flashcard

•

KG

15 questions

Water Cycle

Flashcard

•

8th Grade - University

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

22 questions

School Wide Vocab Group 1 Master

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Exponential Functions Key Features

Quiz

•

9th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

20 questions

Box and Whisker Plots

Quiz

•

9th Grade

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

15 questions

Graphing Inequalities

Quiz

•

7th - 9th Grade

21 questions

Factoring Trinomials (a=1)

Quiz

•

9th Grade