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  5. I Can: Write Equations For Circles

I CAN: Write equations for Circles

Authored by Sarah Murchie

Mathematics

10th Grade

CCSS covered

Used 1+ times

I CAN: Write equations for Circles
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14 questions

Show all answers

1.

MATCH QUESTION

1 min • 1 pt

In the equation for a circle, (x−h)2+(y−k)2=r2\left(x-h\right)^2+\left(y-k\right)^2=r^2

r

a point on the circle

(x, y)

center

(h, k)

radius

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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

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

(x−h)2+(y−k)2=r2(x-h)^2+(y-k)^2=r^2

(x+h)2+(y−k)2=r2(x+h)^2+(y-k)^2=r^2

Tags

CCSS.HSG.GPE.A.1

3.

MATH RESPONSE QUESTION

3 mins • 1 pt

Write an equation for a circle with center at the origin and radius 6.

x2+y2=36x^2+y^2=36

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

4.

MATH RESPONSE QUESTION

3 mins • 2 pts

Write an equation for a circle with center at (4, 3) and radius 9.

(x−4)2+(y−3)2=81\left(x-4\right)^2+\left(y-3\right)^2=81

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

5.

MATH RESPONSE QUESTION

3 mins • 1 pt

What is the length of the radius of a circle with the equation (x−8)2+(y−1)2=26\left(x-8\right)^2+\left(y-1\right)^2=26

26\sqrt{26}

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

6.

DRAW QUESTION

3 mins • 2 pts

Graph the equation x2+y2=16x^2+y^2=16 .

Media Image

7.

DRAW QUESTION

3 mins • 2 pts

Graph the equation (x−1)2+(y−4)2=9(x-1)^2+(y-4)^2=9 .

Media Image

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