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.

1

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

1

Write the equation of the circle pictured.

1

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

1

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

1

An arc with a measure of 180o would be a __________.

1

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.

1

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.

1

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

1

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

1

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

1

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

1

The measure of arc DA is ______o.

1

The measure of arc ED is ______o.

1

The measure of arc DBA is ______o.

1

The measure of angle BAC is ______o.

1

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

1

a = ______

1

b = ______

1

c = ______

1

d = ______

1

e = ______

1

x = ______

1

The measure of angle 1 is _____o.

1

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

1

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

1

Draggable item		Corresponding Item

Write the equation of the circle pictured.

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

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

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

Major Arc

Minor Arc

Semi-Circle

None of these

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

Major Arc

Minor Arc

Semi-Circle

None of these.

An arc with a measure of 180o would be a __________.

An arc named "arc CD" would be a __________. An arc named "arc DBE" would be a __________

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

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.

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

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

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

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

The measure of arc DA is ______o.

The measure of arc ED is ______o.

The measure of arc DBA is ______o.

The measure of angle BAC is ______o.

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

a = ______

b = ______

c = ______

d = ______

e = ______

x = ______

The measure of angle 1 is _____o.

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

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

Match each riddle with its solution.

Draggable item		Corresponding Item
A man turned off a light and went to bed. Because of this, several people died. Why?		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 woman lives in a yellow one-story house. Everything in the house is yellow. What color are the stairs?		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 man is locked in a room with only a piano. How does he escape?		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.

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

Major Arc

Minor Arc

Semi-Circle

None of these

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

Major Arc

Minor Arc

Semi-Circle

None of these.

Match each riddle with its solution.

A man turned off a light and went to bed. Because of this, several people died. Why?

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 woman lives in a yellow one-story house. Everything in the house is yellow. What color are the stairs?

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 man is locked in a room with only a piano. How does he escape?

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.