What is the radius of a circle given the equation $$(x+3)^2 + (y-4)^2 = 16$$ ?

The radius is 4, since $$r^2 = 16$$ , thus $$r = \text{sqrt}(16) = 4$$ .

Convert the general form of a circle's equation $$x^2 + y^2 + 6x - 8y + 9 = 0$$ to standard form.

The standard form is $$(x+3)^2 + (y-4)^2 = 16$$ .

What is the radius of a circle with the equation $$x^2 + y^2 = 25$$ ?

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

How do you determine the radius from the equation of a circle in standard form?

The radius is found by taking the square root of the number on the right side of the equation, $$r = \text{sqrt}(r^2)$$ .

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

The general form is $$Ax^2 + Ay^2 + Bx + Cy + D = 0$$ , where A, B, C, and D are constants.

What is the equation of a circle with center (2,3) and radius 5?

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

What is the radius of the circle represented by the equation $$(x-5)^2 + (y+2)^2 = 64$$ ?

The radius is 8, since $$r^2 = 64$$ , thus $$r = \text{sqrt}(64) = 8$$ .

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

Complete the square for both x and y terms to rewrite the equation in standard form.

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

The radius determines the size of the circle; a larger radius means a larger circle.

Equation of Circle 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

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

This represents a circle with center (1, -2) and radius 3.

7.

FLASHCARD QUESTION

Front

If a circle has a center at (0,0) and a radius of 7, what is its equation?

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

10 questions

Present Simple - Negative

Flashcard

•

10th Grade

10 questions

Biomolecules Review

Flashcard

•

9th Grade

10 questions

Listening Practice

Flashcard

•

10th Grade

10 questions

The Role of Joints and Types of Synovial Joints

Flashcard

•

10th Grade

5 questions

Flashcard on Atomic Structure

Flashcard

•

10th Grade

9 questions

Classical and Medieval Art

Flashcard

•

KG

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

29 questions

Alg. 1 Section 5.1 Coordinate Plane

Quiz

•

9th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

11 questions

FOREST Effective communication

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

23 questions

CCG - CH8 Polygon angles and area Review

Quiz

•

9th - 12th Grade

15 questions

Module 3 Topic 1 Vocabulary Quiz

Quiz

•

10th Grade

20 questions

Domain and Range Spiral Review

Quiz

•

9th - 12th Grade

15 questions

Characteristics of Quadratics

Quiz

•

9th - 10th Grade

20 questions

Triangle Proportionality Theorem

Quiz

•

9th - 10th Grade

10 questions

Dividing a polynomial by a monomial

Quiz

•

10th - 12th Grade