Equation of a Circle Geometry

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

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18 questions

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MULTIPLE CHOICE QUESTION

1 min • 3 pts

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

(3,2)

(-3,-2)

(-2,-3)

(2,3)

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

1 min • 3 pts

In the equation (x-4)²+(y-3)²=25, the radius is

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

1 min • 3 pts

What is the length of the diameter of the circle represented by the equation (x+1)²+(y-5)²=36?

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

1 min • 3 pts

For the equation of a circle (x-2)²+(y+3)²=49, what are the coordinates of its center?

(2, 3)

(-2, -3)

(2, -3)

(-2, 3)

Tags

CCSS.HSG.GPE.A.1

MATH RESPONSE QUESTION

1 min • 1 pt

Write the equation of a circle with center (7, 0) with radius 5.

$\left(x-7\right)^2+y^2=25$

Mathematical Equivalence

Tags

CCSS.HSG.GPE.A.1

DROPDOWN QUESTION

1 min • 1 pt

(a) is the radius
(b) is x-coordinate of the center
(c) is the y-coordinate of the center

Tags

CCSS.HSG.GPE.A.1

DRAG AND DROP QUESTION

1 min • 1 pt

A circle with center (a) and a radius of (b) has the equation $\left(x-1\right)^2+y^2=16$ .

$\left(1,0\right)$

$4$

$\left(-1,0\right)$

$\left(0,1\right)$

$\left(0,-1\right)$

$16$

$2$

Tags

CCSS.HSG.GPE.A.1

DRAG AND DROP QUESTION

1 min • 1 pt

Write the standard equation of the circles for the following centers and radii: a. Center (0, 0), r = 2.5 + =

6.25

$x^2$

$y^2$

$\left(x-2\right)^2$

$\left(x-5\right)^2$

2.5

Tags

CCSS.HSG.GPE.A.1

MATH RESPONSE QUESTION

1 min • 1 pt

Write the standard equation of the circle with center (3, −2) and radius 6 units.

$\left(x-3\right)^2+\left(y+2\right)^2=36$

Mathematical Equivalence

Tags

CCSS.HSG.GPE.A.1

10.

DRAG AND DROP QUESTION

1 min • 1 pt

Identify the radius and center of the circle given by the equation $(x+9)^2+(y-1)^2=36$ .

Center: (-9, 1)

r=6

Center: (9, -1)

Center: (9, 1)

Center: (-9, -1)

r=36

r=18

Tags

CCSS.HSG.GPE.A.1

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Equation of a Circle Geometry

In the equation (x-3)2+(y-2)2=16, the center of the circle is...

In the equation (x-4)2+(y-3)2=25, the radius is

What is the length of the diameter of the circle represented by the equation (x+1)2+(y-5)2=36?

For the equation of a circle (x-2)2+(y+3)2=49, what are the coordinates of its center?

Write the equation of a circle with center (7, 0) with radius 5.

​ (a) ​ is the ​radius​ (b) ​ is x-coordinate of the center​ (c) ​ ​ is the y-coordinate of the center

A circle with center (a) and a radius of (b) has the equation (x−1)2+y2=16\left(x-1\right)^2+y^2=16(x−1)2+y2=16 .

Write the standard equation of the circles for the following centers and radii: a. Center (0, 0), r = 2.5 ​ + ​ = ​

Write the standard equation of the circle with center (3, −2) and radius 6 units.

Identify the radius and center of the circle given by the equation (x+9)2+(y−1)2=36(x+9)^2+(y-1)^2=36(x+9)2+(y−1)2=36 .

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

In the equation (x-4)²+(y-3)²=25, the radius is

What is the length of the diameter of the circle represented by the equation (x+1)²+(y-5)²=36?

For the equation of a circle (x-2)²+(y+3)²=49, what are the coordinates of its center?

(a) is the radius
(b) is x-coordinate of the center
(c) is the y-coordinate of the center

A circle with center (a) and a radius of (b) has the equation $\left(x-1\right)^2+y^2=16$ .

Write the standard equation of the circles for the following centers and radii: a. Center (0, 0), r = 2.5 + =

Identify the radius and center of the circle given by the equation $(x+9)^2+(y-1)^2=36$ .