Geometry Unit 5 Writing Equations of Circles

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2
• (x-3)² + (y-4)² = 2
• (x+3)² + (y+4)² = 4
• (x-3)² + (y-4)² = 4

What is the equation of a circle with radius 4 and center (0, 8)?

• x² + (y-8)² = 16
• (x-8)² + y² = 4
• x² + (y-8)² = 4
• x² + (y+8)² = 16

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle given by the equation (x-7)² + (y+3)² = 25?

• 3
• 5
• 10
• 25

Tags

CCSS.HSG.GPE.A.1

What is the center of the circle with equation x² + y² = 1?

• (1, 1)
• (0, 0)
• not enough information

Tags

CCSS.HSG.GPE.A.1

The endpoints of a diameter of a circle are (−3,1) and (9,6).Find the equation of the circle?
Hint: In this problem, we are not given the center or radius. Think Midpoint!

• (x−5)²+(y−7/2)²=169/4
• (x−3)²+(y−3)²=169/4
• (x−3)²+(y−7/2)²=169/4
• (x−7/2)²+(y−7/2)²=169/4

Find the center and radius of the circle: x²+y²+14x-2y=-1

• center= -7,2 radius= 3
• center= -7,1 radius= 7
• center= -4,1 radius= 5

A circle has the equation  x² + y² - 12x + 8y + 3 = 0.  Use completing the square to write the equation in standard form.

• (x - 6)² + (y + 4)² = 49
• (x + 4)² + (y - 6)² = 49
• (x - 6)² + (y + 4)² = 55
• x² + y² = 55

Tags

CCSS.HSG.GPE.A.1

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1