Unit 8 Review

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29 questions
1

Write the equation of the circle that has center (-1, 1) and a radius of 4.

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Write the equation of the circle pictured.

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Write the equation of the circle in which endpoints of the diameter are at (-5, 10) and (-5, -2).

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Write the equation of the circle with center (-4, 1) and containing point (8, -4).

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An arc with a measure of 75o would be a ___________.

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An arc with a measure of 210o would be a ___________.

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An arc with a measure of 180o would be a __________.
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An arc named "arc CD" would be a __________. An arc named "arc DBE" would be a __________
1

The length of arc XZ is _____ m. Round to the nearest tenth.

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An arc on a circle is 20 cm long. The measure of the arc is 35o. The radius of the circle is ______ cm. Round to the nearest tenth.

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The area of sector AOB is ______ m2. Round to the nearest tenth.

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The area of shaded segment is ______ m2. Round to the nearest tenth.

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The area of a 72o sector is 70 in2. The radius of the circle is is ______ in. Round to the nearest tenth.

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The area of the shaded region is ______ m2. Round to the nearest tenth.

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The measure of arc DA is ______o.

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The measure of arc ED is ______o.

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The measure of arc DBA is ______o.

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The measure of angle BAC is ______o.

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If the measure of angle AMB is 74o, the measure of angle CDB is ______o.

1

a = ______

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b = ______

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c = ______

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d = ______

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e = ______

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x = ______

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The measure of angle 1 is _____o.

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RS and QS are tangent to the circle. The value of x is ______.

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RS and QS are tangent to the circle. The value of y is ______.

1

Match each riddle with its solution.

Draggable itemCorresponding Item
A man is locked in a room with only a piano. How does he escape?
There are no stairs, because the woman lives in a one-story house. The woman wishes she could afford a two-story house. Or at least one with a furnace and more natural light. But a one-story house makes sense. She lives alone. What does she need all the extra space for? Another cat? A family? She pulls up a blanket, shivering. The yellow walls are starting to drive her insane.
A man turned off a light and went to bed. Because of this, several people died. Why?
The man uses a piano “key” to escape. Then he uses religion to escape, then drugs, then a relationship that clearly won’t work out in the long term, then unhealthy food, then rage, then the “key” again, because it’s a cycle, it’s an endless cycle, and he can never truly escape until he accepts that she’s really gone.
A woman lives in a yellow one-story house. Everything in the house is yellow. What color are the stairs?
The man lives in a lighthouse; when he turned off the light, two ships crashed. For months, the man is wracked with guilt—how could he forget to keep the light on? What was he thinking? Years pass. The man moves to a small inland town. He attends group therapy regularly. At one session, he meets a widow of three years. She is beautiful in a quiet way. They get married. She never questions why he refuses to turn off the lights at night. Days become decades. They don’t have children, but they are happy together. One day, the man visits an antique shop and breaks down sobbing when he sees a ship in a bottle. He asks his wife to drive him to the ocean. She does. She knows not to ask why. They arrive. The man forgives himself. He finally forgives himself.