Equation of a Circle

Which of the following is the equation of a circle whose center is at (0, 0) and radius is 27 units?

• x² + y² = 729

• 2x² + 2y² = 27

• x² – y² = 729

• 2x² – 2y² = 27

Tags

CCSS.HSG.GPE.A.1

Which is true about (x – 11)² + (y + 2)² = 400?

i. Its center is at (11, -2).

ii. It is an equation of a circle in general form.

• i

• ii

• none of the above

• both

Tags

CCSS.HSG.GPE.A.1

Which of the following is the equation of a circle whose center is at (0, -10) and radius is √2

units?

• (x – 10)² + y² = √2

• x² + y² = 4

• x² + (y + 10)² = 2

• x² – y² = 4

Tags

CCSS.HSG.GPE.A.1

Which equation of a circle has a center at (12, 0)?

• x² + y² – 4x + 144 = 0

• x² + y² -256 = 0

• x² + y² – 24x – 112 = 0

• x² + y² – x = 0

Tags

CCSS.HSG.GPE.A.1

Which is true about (x – h)² + (y – k)² = r²?

i. It is an equation of a circle in general form.

ii. It is an equation of a circle in standard form.

• i

• ii

• both

• none of the above

Tags

CCSS.HSG.GPE.A.1

Which of the following is an example of an equation of a circle?

• y = 8x – 1

• y² = 324

• x² + y² – 300 = 0

• 6x + y – 24 = 0

Tags

CCSS.HSG.GPE.A.1

Which of the following is the value of D in the equation x² + y² – 2x – 34y + 226 = 0?

• -1

• 226

• -3

• -2

Tags

CCSS.HSG.GPE.A.1

Which is not true about x² + y² = r²?

i. Its center is at the origin.

ii. The variable r means radius.

• i

• none of the above

• both

• ii

Tags

CCSS.HSG.GPE.A.1

Which of the following is the radius of the equation (x – 3)² + (y – 14)² = 175?

• 7√5 units

• 5√7 units

• √7 units

• √5 units

Tags

CCSS.HSG.GPE.A.1

All of the following are equations of a circle except.

• x + y = 0

• x² + y² = 9

• x² + y² = 80

• x² + y² = 112

Tags

CCSS.HSG.GPE.A.1