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Biblioteka

Unit 4 Test EXTRA CREDIT

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Posljednje ažuriranje over 6 years ago
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Complete ALL of the following questions to receive extra credit points on your Unit 4 Test. Use the hints provided to help you.

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Pitanje 1
1.

What kind of angle is ∠BAC? (HINT)

Pitanje 2
2.

An inscribed angle... (Choose 2!) (HINT)

Pitanje 3
3.

What is the m∠BAC?

Pitanje 4
4.

Which arc does ∠TRS open up to? (HINT)

Pitanje 5
5.

Which arc does ∠TQS open up to? (HINT)

Pitanje 6
6.

If two inscribed angles open up to the same arc, what do you know about those two angles? (HINT)

Pitanje 7
7.

Which statement must be true? (HINT)

Pitanje 8
8.

If the measure of arc AB is 120°, what is the measure of angle C?

Pitanje 9
9.

What do the angles in a triangle have to add up to? (HINT)

Pitanje 10
10.

What is the measure of ∠B?

Pitanje 11
11.

A tangent line touches the circle how many times? (HINT)

Pitanje 12
12.

A secant line touches the circle how many times? (HINT)

Pitanje 13
13.

What kind of angle does the tangent line make with the radius at the point of tangency? (HINT)

Pitanje 14
14.

A major arc is... (HINT)

Pitanje 15
15.

Which of these statements is FALSE?

Pitanje 16
16.

In the diagram, arc BC and arc BD each measure 130 degrees.

What is the measure of arc DC?

Pitanje 17
17.

In the diagram, arc BC and arc BD each measure 130 degrees.

Using the measure of arc CD from the previous question, what is the measure of angle CBD?

Pitanje 18
18.

The Thompson family made a cheesecake with a radius of 4 inches. Mrs. Thompson cut a slice of cheesecake that has a central angle of 39°, as shown.

Which formula (from your formula sheet) would you use to find the area of the slice of cheesecake Mrs. Thompson cut?

Pitanje 19
19.

Pitanje 20
20.

In shot put, athletes have to throw a heavy ball into a certain area. This area is made up of a sector of a circle with a central angle of 34.92° and a radius of 160 feet.

What formula (from your formula sheet) would you use to find the area of the shot put sector?

Pitanje 21
21.

In shot put, athletes have to throw a heavy ball into a certain area. This area is made up of a sector of a circle with a central angle of 34.92° and a radius of 160 feet.

Find the area of of the shot put sector to the nearest square foot. (Enter a WHOLE NUMBER!)

Pitanje 22
22.

Find the AREA of the shaded SECTOR. (Use your formula sheet!)

Pitanje 23
23.

A crayon (shown below) can be a composite figure made from a cone and cylinder. Use the dimensions of the crayon in the diagram to find the volume.

What would be the correct process to find the volume of the composite figure? (HINT)

Pitanje 24
24.

A crayon (shown below) can be a composite figure made from a cone and cylinder. Use the dimensions of the crayon in the diagram to find the volume.

What is the best estimate of volume of the crayon? (HINT)

Pitanje 25
25.

A grain silo is shaped like a cylinder with a height of 24 feet and a diameter of 10 feet. A farmer wishes to determine how many cubic feet of grain could fit in the silo. What formula (from your formula sheet) would calculate the number of cubic feet that the silo could hold?

Pitanje 26
26.

A grain silo is shaped like a cylinder with a height of 24 feet and a diameter of 10 feet. A farmer wishes to determine how many cubic feet of grain could fit in the silo. What is the maximum amount of cubic feet of grain that the silo could hold?

Pitanje 27
27.

Pitanje 28
28.

Pitanje 29
29.

Marcus has been working on a large rubber band ball. When Marcus first measured the ball it had a diameter of 5 inches. Over the course of one year, Marcus continued to add more rubber bands to the ball. After one year Marcus measured the rubber band ball, and it had a diameter of 15 inches.

How much volume was added on to the rubber band ball? (HINT)

Pitanje 30
30.

Find the volume of one paper cone if the diameter is 4 inches and the height is 7 inches. Round your answer to the nearest cubic inch.

Pitanje 31
31.

Determine which of the transformations applied to Circle A could be used to prove Circle A is similar to Circle B. Select all that are TRUE. (Select 2!!!)

Pitanje 32
32.

In an inscribed quadrilateral, opposite angles are ________________________. (HINT)

Pitanje 33
33.

Find the value of each variable. (HINT)

Pitanje 34
34.

How do you find the volume of a square pyramid?

Pitanje 35
35.

How do you find the volume of a cube?

Pitanje 36
36.

What is the difference in these two formulas?

Pitanje 37
37.

Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches.

Thinking about your answer to the last question, how many pyramids would fill up the cube? (HINT)

Pitanje 38
38.

Compare the three prisms shown above in terms of their height, base, volume, and area of the two–dimensional cross–section.

Select each TRUE statement.

Pitanje 39
39.

Select all of the three–dimensional figures below that have a circular cross section.

REVIEW YOUR ANSWERS CAREFULLY!

YOU WILL NOT BE ABLE TO CHANGE THEM AFTER YOU SUBMIT!

The Thompson family made a cheesecake with a radius of 4 inches. Mrs. Thompson cut a slice of cheesecake that has a central angle of 39°, as shown.

What is the filled-in formula for the area of the slice of cheesecake that Mrs. Thompson cut out?

Marcus has been working on a large rubber band ball. When Marcus first measured the ball it had a diameter of 5 inches. Over the course of one year Marcus continued to add more rubber bands to the ball. After one year Marcus measured the rubber band ball, and it had a diameter of 15 inches.

What is the volume of the ball that he started with?

Marcus has been working on a large rubber band ball. When Marcus first measured the ball it had a diameter of 5 inches. Over the course of one year, Marcus continued to add more rubber bands to the ball. After one year Marcus measured the rubber band ball, and it had a diameter of 15 inches.

What is the volume of the ball that he has AFTER adding to it for a year?