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Understanding the Equation of a Circle

Understanding the Equation of a Circle

Assessment

Interactive Video

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSG.GPE.A.1, HSG.GPE.B.7, 8.EE.A.2

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSG.GPE.A.1
,
CCSS.HSG.GPE.B.7
,
CCSS.8.EE.A.2
The video tutorial explains how to determine the equation of a circle in standard form. It begins by identifying the center of the circle from a graph and then calculates the radius using the distance formula. The tutorial simplifies the radius calculation and concludes by writing the final equation of the circle in standard form.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the standard form of the equation of a circle?

x^2 + y^2 = r^2

(x + h)^2 + (y + k)^2 = r^2

(x - h)^2 + (y - k)^2 = r^2

x^2 - y^2 = r^2

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the center of a circle is at (2, -3), what are the values of h and k?

h = -2, k = -3

h = -2, k = 3

h = 2, k = 3

h = 2, k = -3

Tags

CCSS.HSG.GPE.B.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to calculate the distance between two points?

Quadratic formula

Midpoint formula

Slope formula

Distance formula

Tags

CCSS.HSG.GPE.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the distance between the points (2, -3) and (8, 3)?

Square root of 72

12

6

Square root of 36

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify the square root of 72?

12

6√2

6

8√3

Tags

CCSS.8.EE.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of r squared if r is the square root of 72?

36

18

72

144

Tags

CCSS.8.EE.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the radius if r equals the square root of 72?

12

6√2

6

8√3

Tags

CCSS.HSG.GPE.A.1

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