Points Inside, Outside or on a Circle

Find the center if the endpoints of the diameter are at (-12, -7) and (3, 5).

• (-4.5, -1)
• (-7.5, -6)
• (4.5, 1)
• (7.5, 6)

Tags

CCSS.HSG.GPE.A.1

What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?

• (x+1)² + (y+4)² = 16

• (x+1)² + (y-4)² = 16

• (x-1)² + (y-4)² = 16

• (x+1)² - (y+4)² = 16

Tags

CCSS.HSG.GPE.A.1

Find the radius if the endpoints of the diameter are (-6, 5) and (-2, -3).

• 5.52
• 11.05
• 4.47
• 8.94

Tags

CCSS.HSG.GPE.A.1

The point (-5,6) is on a circle with center (-1,3). Write the equation of the circle.

• (x+5)²+(y-6)²=25
• (x-5)²+(y-2)²=25
• (x+1)²+(y-3)²=25
• (x-1)²+(y+3)²=25

Tags

CCSS.HSG.GPE.A.1

Find the radius if the endpoints of the diameter are (-6, 5) and (-2, -3).

• 5.52
• 11.05
• 4.47
• 8.94

Tags

CCSS.HSG.GPE.A.1

The point (8,6) is on a circle with center (-1,-2). Write the equation of the circle.

• (x-1)²+(y-2)²=145
• (x+1)²+(y+2)²=12
• (x+1)²+(y+2)²=145
• (x-8)²+(y-6)²=12

Tags

CCSS.HSG.GPE.A.1

Choose the equation that represents the circle with center (5, 9) and goes through (2, 9)

• (x+5)²+(y+9)²=3
• (x-5)²+(y-9)²=3
• (x+5)²+(y+9)²=9
• (x-5)²+(y-9)²=9

Tags

CCSS.HSG.GPE.A.1

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36
• (x - 5)² + (y + 2)² = 6
• (x + 5)² + (y - 2)² = 36
• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1

The endpoints of a diameter of a circle are (3,1) and (9,5).Find the equation of the circle?

• (x−6)²+(y−3)²=13

• (x−3)²+(y−6)²=13²

• (x−5)²+(y−9)²=13

• (x−9)²+(y−5)²=169/4

Tags

CCSS.HSG.GPE.A.1

Prove or disprove that the point (3,7) lies on the circle centered at the origin and has a radius of 8.

• (3,7) lies on the circle

• (3,7) lies outside the circle

• (3,7) lies inside the circle

Tags

CCSS.HSG.GPE.A.1