AnswersMath II CR S2 RS3Equation of a Circle

Equation of a Circle Answers

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On a coordinate plane, a circle has a center at (1, negative 2) and a radius of 4 units.

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A
(x – 1)2 + (y + 1)2 = 16
B
(x – 1)2 + (y + 1)2 = 4
C
(x + 1)2 + (y –1)2 = 4
D
(x + 1)2 + (y – 1)2 = 16
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Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)? Distance formula:

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A
(x – 1)2 + (y + 2)2 = 25
B
(x + 2)2 + (y – 1)2 = 5
C
(x + 2)2 + (y – 1)2 = 25
D
(x – 1)2 + (y + 2)2 = 5
3

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

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A
(x – 4)2 + y2 = 100
B
(x – 4)2 + y2 = 10
C
x2 + (y – 4)² = 10
D
x2 + (y – 4)² = 100
4

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

Question illustration
A
(2, )
Option A
B
(2, )
Option B
C
(2, 1)
D
(2, 3)
5

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

A
2 units
B
3 units
C
4 units
D
5 units
6

What is the center of a circle represented by the equation (x+9)2+(y−6)2=102?

A
(−9,6)
B
(−6,9)
C
(6,−9)
D
(9,−6)
7

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

A
(x – 3)2 + (y – 5)2 = 6
B
(x – 3)2 + (y – 5)2 = 36
C
(x + 3)2 + (y + 5)2 = 6
D
(x + 3)2 + (y + 5)2 = 36

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