Exploring Equations of Circles

Exploring Equations of Circles

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSG.GPE.A.1

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the center of a circle represent in its equation?

The coordinates where the circle crosses the x-axis

The length of the radius

The highest point on the circle

The coordinates of the middle point of the circle

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of 'R' in the circle's equation?

It is the circumference of the circle

It denotes the radius of the circle

It indicates the area of the circle

It represents the diameter of the circle

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the sign of the center coordinates affect the equation of a circle?

A negative x-coordinate turns into a plus sign in the equation

The signs of the coordinates have no effect on the equation

A positive y-coordinate remains a minus sign in the equation

Both coordinates being negative does not change the equation

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a plus sign inside the equation of a circle indicate about the center's coordinates?

Both coordinates are positive

The x-coordinate is positive

The y-coordinate is positive

At least one of the coordinates is negative

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

By squaring the value of R in the equation

By taking the square root of the value on the right side of the equation

By doubling the value of R in the equation

By adding the values of H and K

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the equation of a circle look like when the center is at (-4, 1) and the radius is 1?

(x - 4)^2 + (y - 1)^2 = 1

(x - 4)^2 + (y + 1)^2 = 1

(x + 4)^2 + (y - 1)^2 = 1

(x + 4)^2 + (y + 1)^2 = 1

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the center of a circle is at (5, -1) and the radius is 10, what is the correct equation?

(x - 5)^2 + (y - 1)^2 = 100

(x - 5)^2 + (y + 1)^2 = 100

(x + 5)^2 + (y + 1)^2 = 10

(x + 5)^2 + (y - 1)^2 = 100

Tags

CCSS.HSG.GPE.A.1

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