What is the radius of a circle given by the equation $$(x+3)^2 + (y-6)^2 = 25$$ ?

The radius is 5, since $$r^2 = 25$$ .

How do you determine the area of a sector of a circle?

The area of a sector is given by the formula: $$A = \frac{\theta}{360} \times \text{π}r^2$$ , where $$\theta$$ is the angle in degrees.

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

The diameter is twice the radius: $$d = 2r$$ .

What does it mean for a circle to be in standard form?

A circle is in standard form when its equation is expressed as $$(x-h)^2 + (y-k)^2 = r^2$$ .

How do you find the center and radius from the equation $$x^2 + 10x + y^2 + 8y = 59$$ ?

Complete the square: Center is (-5, -4) and radius is 10.

What is the significance of the values h and k in the circle's equation?

The values h and k represent the x and y coordinates of the center of the circle.

What is the equation of a circle with diameter endpoints at (3,-4) and (-5,-4)?

The equation is $$(x+1)^2 + (y+4)^2 = 16$$ .

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

Group x and y terms, complete the square for each, and rearrange to the standard form.

What is the area of a sector with a radius of 3 yards and an angle of 90 degrees?

The area is $$A = \frac{90}{360} \times \text{π}(3^2) = \frac{1}{4} \times 9\text{π} = \frac{9\text{π}}{4} \text{ yd}^2$$ .

NC Math 3 Review: 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

Tags

CCSS.HSG.GPE.A.1

2.

FLASHCARD QUESTION

Front

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

Back

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

Tags

CCSS.HSG.GPE.A.1

3.

FLASHCARD QUESTION

Front

Back

The center is (-3, 6) after completing the square.

Tags

CCSS.HSG.GPE.A.1

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.GPE.A.1

5.

FLASHCARD QUESTION

Front

How do you find the diameter of a circle from its endpoints?

Back

6.

FLASHCARD QUESTION

Front

What is the area of a circle with radius r?

Back

Tags

CCSS.7.G.B.4

7.

FLASHCARD QUESTION

Front

What is the formula for the circumference 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

12 questions

WORD FORMATION - NOUN/VERB/ADJECTIVE

Flashcard

•

10th Grade

13 questions

Regular and Irregular Verbs

Flashcard

•

10th Grade

11 questions

7517 05 Structured Programming

Flashcard

•

10th Grade - University

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

8 questions

CHILDREN 2 (1ST CLASS)

Flashcard

•

KG

8 questions

Unit 3.7 Firm's costs, Revenue & Objective

Flashcard

•

11th Grade

11 questions

Review A2

Flashcard

•

10th Grade

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

Popular Resources on Wayground

8 questions

Spartan Way - Classroom Responsible

Quiz

•

9th - 12th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

3 questions

Integrity and Your Health

Lesson

•

6th - 8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

9 questions

FOREST Perception

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

Discover more resources for Mathematics

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

16 questions

Properties of Quadrilaterals

Quiz

•

11th Grade

23 questions

8th grade math unit 5B Perfect Squares and Cubes

Quiz

•

6th - 12th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

10 questions

Quadratic Regression Practice

Quiz

•

7th - 12th Grade

20 questions

Triangle Congruence Statements Quiz

Quiz

•

9th - 12th Grade

20 questions

5.1 Characteristics of Exponential Functions Lesson Check

Quiz

•

9th - 12th Grade

10 questions

Solving two-step equations

Quiz

•

7th - 12th Grade