AnswersEAP-Geometry B CREquation of a Circle

Equation of a Circle — Unit test Answers

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1
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Line EF is tangent to circle G at point A.

Question illustration
A
90°
B
95°
C
190°
D
195°
2
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Two circles are concentric if they have the same center.

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A
(x – 4)2 + (y – 6)2 = 4
B
(x – 4)2 + (y – 6)2 = 16
C
(x – 6)2 + (y – 4)2 = 16
D
(x – 6)2 + (y – 4)2 = 4
3

Angle G is a circumscribed angle of circle E.

Question illustration
A
x° + x°
B
x° + 90°
C
180° – x°
D
180° – 2x°
4

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

A
x2 + y2 + 4x + 6y – 51 = 0
B
x² + y² – 4x – 6y – 51 = 0
C
x2 + y2 + 4x + 6y – 3 = 0
D
x2 + y2 – 4x – 6y – 3 = 0
5

Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and KL?

A
Both segments are tangent to circle M but are not chords.
B
One segment is tangent to circle M and one segment is a chord in circle M.
C
Both segments are chords in circle M but are not tangents.
D
Neither segment is a chord nor tangent to circle M.
6

Circle O is shown. Line segments C O And A O are radii. Lines are drawn from points C and A to point B to form chords B C and B A. Angle C B A is 80 degrees.

Question illustration
A
140°
B
150°
C
160°
D
170°
7

What is the center of a circle represented by the equation (x−5)2+(y+6)2=42?

A
(−6,5)
B
(−5,6)
C
(5,−6)
D
(6,−5)
8

Triangle BCD is isosceles and BC ≅ BD.

Question illustration
A
100°
B
120°
C
130°
D
160°
9

is tangent to circle P at point Q.

Question illustration
A
37°
B
53°
C
90°
D
97°
10

Points D, E, and F are on circle C and EF ≅ DF.

Question illustration
A
14°
B
19°
C
26°
D
38°
11

A circular table top has a radius of 24 inches.What is the area of the table top, to the nearest square inch? Use 3.14 for .

Question illustration
A
75 in.2
B
151 in.2
C
1809 in.2
D
7235 in.2
12

In circle O, and are diameters. Arc ED measures 17°.

Question illustration
A
107°
B
180°
C
253°
D
270°
13

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
14

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)
15

What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4?

A
2 units
B
4 units
C
8 units
D
16 units

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