Equations of Circles

Equations of Circles

8th Grade

13 Qs

quiz-placeholder

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Equations of Circles

Equations of Circles

Assessment

Quiz

Mathematics

8th Grade

Hard

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Debra Bernal

Used 18+ times

FREE Resource

13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What is the formula for an equation of a circle?

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Let (x, y) represent a point on a circle centered at the origin.

Determine the equation of the circle and justify your reasoning.

The equation of the circle is (x + y)2 = r2 because the curvature of the circle is formed by a quadratic relationship.

The equation of the circle is x2 + y2 = r2 because the Pythagorean Theorem can be used to describe all points equidistant from the origin with a radius of r.

The equation of the circle is x + y = r because the radius of the circle is always equal to the sum of the x and y coordinates.

The equation of the circle is x2 + y2 = r because the distance formula can be used to determine all points equidistant from the origin with a radius of r.

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Point B is located on circle A, as shown below.

Determine the equation of circle A.

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Determine the equation for the graphed circle.

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Determine the equation of the given circle.

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Determine the equation of the circle.

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

When graphed, circle C has a diameter with endpoints on the circle at points A and B .

Which is the correct equation for circle C ?

Tags

CCSS.HSG.GPE.A.1

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