AnswersCrowley Credit Recovery Geometry BArea of a Circle and a Sector

Area of a Circle and a Sector — Unit test Answers

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Circle D is inscribed with triangle A B C. The measure of arc A B is 76 degrees. Point E is on the circle between points B and C.

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A
134°
B
150°
C
209°
D
210°
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What is the radius of a circle whose equation is (x + 5)2 + (y – 3)2 = 42?

A
2 units
B
4 units
C
8 units
D
16 units
43

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.

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.
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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°
45

Arc AB is of the circumference of a circle. What is the radian measure of the central angle?

Question illustration
A
StartFraction pi over 6 EndFraction
Option A
B
StartFraction pi Over 3 EndFraction
Option B
C
StartFraction 2 pi Over 3 EndFraction
Option C
D
StartFraction 5 pi Over 6 EndFraction
Option D

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