AnswersMath II CR S2 RS3Equation of a Circle

Area of Triangles and Parallelograms Answers

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1
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Angle D is a circumscribed angle of circle O.

Question illustration
A
17 units
B
23 units
C
27 units
D
60 units
2
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A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride?

A
132 feet
B
659 feet
C
1,978 feet
D
3,956 feet
3

Line segments XY and ZY are tangent to circle O.

Question illustration
A
an equilateral triangle
B
an isosceles triangle
C
a scalene triangle
D
a right triangle
4

Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.

Question illustration
A
6
Option A
B
9
Option B
C
18
Option C
D
36
Option D
5

Circle D is shown. Angle A C B intercepts arc A B. Arc A B has a measure of 76 degrees.

Question illustration
A
38°
B
76°
C
90°
D
152°
6

Circle O has a circumference of 36π cm.

Question illustration
A
6 cm
B
18 cm
C
36 cm
D
72 cm
7

A point is on a circle if the distance from the center of the circle to the point is equal to the

A
area.
B
circumference.
C
radius.
D
diameter.
8

Which circle has a radius that measures 10 units?

A
Circle D is shown. A line segment goes from one point to another point on the circle and has a length of 10.
Option A
B
Circle F is shown. A line segment goes from one point to another point on the circle and goes through point F. It has a length of 20.
Option B
C
Circle G is shown. A line segment goes from one point to another point on the circle and goes through point G. It has a length of 10.
Option C
D
Circle H is shown. A line segment goes from one point to another point on the circle and has a length of 20.
Option D
9

A circle is shown. Secant A D and tangent E D intersect at point D outside of the circle. Secant A D intersects the circle at point B. The length of A B is a, the length of B D is 10, and the length of D E is 12.

Question illustration
A
12(a + 12) = 102
B
10 + 12 = a2
C
10(a + 10) = 122
D
10(12) = a2
10

Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees.

Question illustration
A
75°
B
90°
C
120°
D
135°
11

Line segment KL is tangent to circle J at point K.

Question illustration
A
8 units
B
10 units
C
12 units
D
16 units
12

Circle O is shown. Chords K M and J L intersect at point A. The measure of arc K J is 170 degrees. The measure of arc L M is 80 degrees.

Question illustration
A
50°
B
55°
C
125°
D
250°
13

Circle C is shown. Radius A has a length of r.

Question illustration
A
32
Option A
B
64
Option B
C
256
Option C
D
1024
Option D
14

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units.The center of the circle lies on the x-axis.The center of the circle lies on the y-axis.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

A
The radius of the circle is 3 units.
B
The center of the circle lies on the x-axis.
C
The center of the circle lies on the y-axis.
D
The standard form of the equation is (x – 1)² + y² = 3.
E
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
15

Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees.

Question illustration
A
26°
B
52°
C
104°
D
128°
16

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.

Question illustration
A
37°
B
53°
C
74°
D
106°
17

Which is true regarding secants and chords?

A
Chords intersect the perimeter of a circle at two points. Secants intersect the perimeter of a circle once.
B
Chords intersect the perimeter of a circle at one point. Secants intersect the perimeter of a circle twice.
C
Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle.
D
Chords and secants intersect the perimeter of a circle twice. Chords are lines or rays that extend through a circle, while secants are segments entirely within a circle.
18

In circle D, ∠EDH ≅ ∠EDG.

Question illustration
A
4 units
B
5 units
C
6 units
D
9 units
19

Which equation represents the circle described?The radius is 2 units. The center is the same as the center of a circle whose equation is x2 + y2 – 8x – 6y + 24 = 0.

A
(x + 4)2 + (y + 3)2 = 2
B
(x – 4)2 + (y – 3)2 = 2
C
(x – 4)2 + (y – 3)2 = 2²
D
(x + 4)2 + (y + 3)2 = 2²
20

Segments RT and SU are diameters of circle O.

Question illustration
A
258°
B
266°
C
274°
D
282°

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