Equations of Circles (CTS)

Quiz

•

Mathematics

•

10th Grade

•

Medium

•

CCSS

HSG.GPE.A.1

Standards-aligned

Daniel Drummond

Used 66+ times

FREE Resource

About this resource

Journey through the world of circles with the "Equations of Circles (CTS)" quiz, crafted by Daniel Drummond for 10th-grade math enthusiasts. This engaging assessment features 23 multiple-choice questions designed to challenge your understanding of circle equations. With a medium difficulty level, it covers both standard and general forms, requiring you to identify center coordinates and radii. Some questions even include visual representations to enhance your learning experience. You'll be tested on writing equations and interpreting given ones, making this quiz a comprehensive tool for mastering circle equations. Understanding circle equations is crucial for 10th graders as it lays the groundwork for advanced geometry and calculus. You'll learn to write standard form equations, identify center coordinates and radii, and convert between general and standard forms. The quiz also covers finding equations from diameter endpoints, determining if points lie on a circle, and deriving equations from a point and center. These skills are vital for real-world applications in engineering and physics, improving algebraic manipulation, and preparing for standardized tests. Practicing these concepts beyond the classroom is essential for a solid foundation in coordinate geometry. Ready to elevate your learning? Quizizz is your go-to platform for engaging K-12 assessments. With features like immediate feedback and progress tracking, Quizizz makes learning circle equations interactive and fun. Customize quizzes to fit your learning needs and let teachers use data to pinpoint areas needing extra support. Accessible across devices, Quizizz empowers you to learn anytime, anywhere. Embrace the bold, punchy, and curious spirit of Quizizz and transform your educational journey today!

23 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of a circle with center (7, 0) with radius 3.

(x - 7)² + y² = 9

x² + (y -7)² = 9

(x - 7)² + y² = 3

x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

x²+y²=4

x²+y²=81

x²+y²=9

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation for this circle?

(x+1)+(y+1)=9

x²+y²=9

x+y=9

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of a circle with radius 4 and center (0, 8)?

x² + (y-8)² = 16

(x-8)² + y² = 4

x² + (y-8)² = 4

x² + (y+8)² = 16

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

(x - 2)²+ (y + 5)²= 36

(x - 5)² + (y + 2)² = 6

(x + 5)²+ (y - 2)²= 36

(x + 2)²+ (y - 5)²= 6

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

Center (4,3)
Radius = 5 units

Center (4,3)
Radius = 25 units

Center (-4,-3)
Radius = 25 units

Center (-4,-3)
Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the center of the circle with equation x² + y² = 1?

(1, 1)

(0, 0)

not enough information

Tags

CCSS.HSG.GPE.A.1

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