Parabolas

Question 1

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

Revolt · Accepted Answer

A: 2 units

Question 2

What is the center of a circle whose equation is x2 + y2 + 4x – 8y + 11 = 0?

Question 3

Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)? Distance formula:

Revolt · Accepted Answer

C: (x + 2)2 + (y – 1)2 = 25

Question 4

Which point is on the circle centered at the origin with a radius of 5 units?Distance formula:

Revolt · Accepted Answer

A: (2, )

Question 5

Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is shown.x2 + y2 + 6x + 4y – 3 = 0x2 + 6x + y2 + 4y – 3 = 0(x2 + 6x) + (y2 + 4y) = 3(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4

Question 6

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Revolt · Accepted Answer

D: (x + 3)2 + (y + 5)2 = 36

Question 7

Which equation represents a circle that contains the point (–2, 8) and has a center at (4, 0)?Distance formula:

Revolt · Accepted Answer

A: (x – 4)2 + y2 = 100

Question 8

Which explains how to find the radius of a circle whose equation is in the form x2 + y2 = z?

Revolt · Accepted Answer

C: The radius is the square root of the constant term, z.

Question 9

A sprinkler is designed to water a circular area that has a radius of 7 feet. The sprinkler is located at (0,0) on a lawn. A flowerbed is planted 3 feet east and 6 feet south of the sprinkler.Determine if the distance from the flowerbed to the sprinkler places the flowerbed on or within the circular area that this sprinkler can water.

Revolt · Accepted Answer

D: Yes. The flowerbed is √45 feet away from the sprinkler, which is less than the 7-foot radius.

Question 10

What is the center of a circle whose equation is x2 + y2 – 12x – 2y + 12 = 0?

Revolt · Accepted Answer

C: (6, 1)

Parabolas Answers

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