AnswersGeometryEquation of a Circle

Equation of a Circle — Quiz Answers

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1
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y -axis? Choose two correct answers.

A
x squared plus open paren y plus 8 close paren squared is equal to 36
B
open paren x plus 6 close paren squared plus y squared is equal to 144
C
open paren x minus 4 close paren squared plus y squared is equal to 36
D
x squared plus open paren y minus 5 close paren squared is equal to 6
E
x squared plus open paren y minus 3 close paren squared is equal to 36
2
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Which equation represents a circle that contains the point negative 5 comma negative 3 and has a center at negative 2 comma 1 ? Distance formula: square root of open paren x sub 2 minus x sub 1 close paren squared plus open paren y sub 2 minus y sub 1 close paren squared end root

A
open paren x plus 2 close paren squared plus open paren y minus 1 close paren squared is equal to 25
B
open paren x minus 1 close paren squared plus open paren y plus 2 close paren squared is equal to 5
C
open paren x minus 1 close paren squared plus open paren y plus 2 close paren squared is equal to 25
D
open paren x plus 2 close paren squared plus open paren y minus 1 close paren squared is equal to 5
3

Which equation represents a circle that contains the point negative 2 comma 8 and has a center at 4 comma 0 ? Distance formula: square root of open paren x sub 2 minus x sub 1 close paren squared plus open paren y sub 2 minus y sub 1 close paren squared end root

A
x squared plus open paren y minus 4 close paren squared is equal to 10
B
x squared plus open paren y minus 4 close paren squared is equal to 100
C
open paren x minus 4 close paren squared plus y squared is equal to 100
D
open paren x minus 4 close paren squared plus y squared is equal to 10
5

Which equation represents a circle with a center at negative 3 comma negative 5 and a radius of 6 units?

A
open paren x minus 3 close paren squared plus open paren y minus 5 close paren squared is equal to 36
B
open paren x plus 3 close paren squared plus open paren y plus 5 close paren squared is equal to 6
C
open paren x plus 3 close paren squared plus open paren y plus 5 close paren squared is equal to 36
D
open paren x minus 3 close paren squared plus open paren y minus 5 close paren squared is equal to 6
7

Which explains how to find the radius of a circle whose equation is in the form x squared plus y squared is equal to z ?

A
The radius is the constant term, z .
B
The radius is the square root of the constant term, z .
C
The radius is the constant term, z , divided by 2 .
D
The radius is the square of the constant term, z .
9

Which equation represents a circle with a center at negative 4 comma 9 and a diameter of 10 units?

A
open paren x minus 9 close paren squared plus open paren y plus 4 close paren squared is equal to 100
B
open paren x plus 4 close paren squared plus open paren y minus 9 close paren squared is equal to 25
C
open paren x plus 4 close paren squared plus open paren y minus 9 close paren squared is equal to 100
D
open paren x minus 9 close paren squared plus open paren y plus 4 close paren squared is equal to 25

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