AnswersMath II CR S2 RS3Equation of a Circle

Equation of a Circle — Unit test Answers

0 verified answers2 views
1
Free Preview

Given: Circle O; intercepts ; D intercepts Prove:

Question illustration
A
inscribed angles theorem
B
third corollary to the inscribed angles theorem
C
central angle of a triangle has the same measure as its intercepted arc.
D
formed by a tangent and a chord is half the measure of the intercepted arc.
Option D
2
Free Preview

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
3

Arc QVT measures 156°.

Question illustration
A
Angles QRT and QST both measure 78°.
B
Angles QRT and QST both measure 156°.
C
Angle QRT measures 78° and angle QST measures 102°.
D
Angle QRT measures 156° and angle QST measures 24°.
4

Circle R is shown. Tangents F G and H G intersect at point G outside of the circle to form an angle with a measure of 50 degrees. Point E is on the second arc. Arc F H has a measure of x degrees.

Question illustration
A
130°
B
230°
C
260°
D
310°
5

Angle K measures 67º and angle L measures 119°.

Question illustration
A
m = 61o and m = 113o
Option A
B
m = 67o and m = 119o
Option B
C
m = 113o and m = 61o
Option C
D
m = 119o and m = 67o
Option D
6

Two circles are concentric if they have the same center.

Question illustration
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
7

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2.Which circle could represent the base of the vase? Use 3.14 for .

A
Circle C is shown. Line segment A C is a radius with length 6 centimeters.
Option A
B
Circle C is shown. Line segment A C is a radius with length 7 centimeters.
Option B
C
Circle C is shown. Line segment A C is a radius with length 8 centimeters.
Option C
D
Circle C is shown. Line segment A C is a radius with length 9 centimeters.
Option D
8

Consider circle C with angle ACB measuring radians.

Question illustration
A
6 inches
B
12 inches
C
18 inches
D
24 inches
9

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)
10

is tangent to circle P at point Q.

Question illustration
A
37°
B
53°
C
90°
D
97°
11

In quadrilateral QRST, measures (5x+15)°. Angle TQR measures (4x+3)°.

Question illustration
A
15°
B
75°
C
105°
D
165°
12

Two chords intersect at a point inside a circle that is not the center of the circle. Which statement must be true?

A
The measures of each pair of opposite arcs sum to 180°.
B
Each angle measure is equal to the measure of the arc it intercepts.
C
The sum of the measures of each pair of vertical angles is equal to the sum of the measures of the intercepted arcs.
D
Each arc measure is equal to one-half the sum of the vertical angles that intercept the arc.
13

Which statements about the clock are accurate? Select three options.

A
The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.
B
The circumference of the clock is approximately 62.8 inches.
C
The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
D
The length of the major arc between 3 and 10 is approximately 31.4 inches.
E
The length of the minor arc between 6 and 7 is approximately 5.2 inches.
14

Line EF is tangent to circle G at point A.

Question illustration
A
90°
B
95°
C
190°
D
195°
15

Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees.

Question illustration
A
34°
B
45°
C
68°
D
73°

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Unit Test

Quiz
10 verified answers

Equation of a Circle

Quiz
10 verified answers

Equation of a Circle