How do you write the equation of a circle given its center and radius?

If the center is (h, k) and the radius is r, the equation is $$(x - h)^2 + (y - k)^2 = r^2$$ .

What does the equation $$(x - 4)^2 + (y - 3)^2 = 25$$ represent?

This represents a circle with center (4, 3) and radius 5.

What is the significance of the number on the right side of the equation of a circle?

The number on the right side of the equation $$(x - h)^2 + (y - k)^2 = r^2$$ represents the square of the radius.

How can you identify the radius from the equation $$(x + 2)^2 + (y - 3)^2 = 4$$ ?

The radius is the square root of 4, which is 2.

What is the formula for the circumference of a circle?

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

How do you find the distance between the center and a point on the circle?

Use the distance formula: $$d = \text{sqrt}((x_2 - x_1)^2 + (y_2 - y_1)^2)$$ .

What is the equation of a circle with center (7, 0) and radius 5?

The equation is $$(x - 7)^2 + y^2 = 25$$ .

How do you graph the equation of a circle?

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

Equation of a Circle

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.GPE.A.1, 7.G.B.4

Standards-aligned

Wayground Content

FREE Resource

Student preview

15 questions

Show all answers

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.GPE.A.1

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.GPE.A.1

FLASHCARD QUESTION

Front

What is the diameter of a circle?

Back

Tags

CCSS.7.G.B.4

FLASHCARD QUESTION

Front

What is a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.

FLASHCARD QUESTION

Front

What is a tangent to a circle?

Back

A tangent is a line that touches the circle at exactly one point.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.GPE.A.1

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.7.G.B.4

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

10 questions

Strategies to Avoid Communication Breakdown

Flashcard

•

11th - 12th Grade

16 questions

MODALS IN THE PAST

Flashcard

•

9th - 12th Grade

10 questions

Present Simple

Flashcard

•

7th - 12th Grade

15 questions

Checkpoint 3

Flashcard

•

8th Grade - University

12 questions

DNA Replication and Protein Synthesis

Flashcard

•

9th - 12th Grade

12 questions

TỪ VỰNG BÀI 1 (B1)

Flashcard

•

10 questions

Marketing Mix - Place and Distribution

Flashcard

•

10th Grade - University

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

13 questions

SMS Cafeteria Expectations Quiz

Quiz

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

SMS Restroom Expectations Quiz

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

10 questions

Pi Day Trivia!

Quiz

•

6th - 9th Grade

Discover more resources for Mathematics

10 questions

Pi Day Trivia!

Quiz

•

6th - 9th Grade

15 questions

Pi Day Trivia!

Quiz

•

9th Grade

15 questions

Pi Day Trivia

Quiz

•

9th - 12th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

10 questions

Exploring Basic Probability Concepts

Interactive video

•

6th - 10th Grade

15 questions

Algebra 1 EOC Review #1

Quiz

•

9th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

15 questions

Pi Day Trivia

Quiz

•

10th Grade