Circle Equation Standard

Circle Equation Standard

11th Grade

12 Qs

quiz-placeholder

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Circle Equation Standard

Circle Equation Standard

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Anthony Clark

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write the equation of the circle with center C( -5, 8 ) and radius = 7.

( x - 5 )2 + ( y + 8 )2 = 14

( x - 5 )2 + ( y - 8 )2 = 49

( x - 5 )2 + ( y + 8 )2 = 49

( x + 5 )2 + ( y - 8 )2 = 49

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the radius of the circle (x+7)²+(y-2)²=144?

7

12

13

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?

4

8

4√2

2√2

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2. If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?

(h + x)2 + (k + y)2 = r2

(x – h)2 + (y – k)2= r2

(k + x)2 + (h + y)2 = r2

(x – k)2 + (y – h)2 = r2

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the equation of the circle given the diameter with endpoints (1, 2) and (3, -2)? (Hint: Use midpoint and distance formula)

(x+2)2+y2=5

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

(x-2)2+y2=20

(x-2)2+y2=5

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which equation matches the circle on the graph?

(x+2)2+y2=16

(x+2)2+x2=16

(x+4)2+y2=4

(x+20)2+y2=12

Tags

CCSS.HSG.GPE.A.1

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