Vocabulary
Circles
3D Shapes
Unit Circle
Random
100
What is AB?
Radius
100
What is the equation of a circle?
(x-h)^2+(y-k)^2=r^2
100
Surface area is...
The area of all the outside faces of 3D figures
100
What is 180o in radians?
pi
100
Draw a picture that represents the 3D figure produced when the triangle below is rotated around the leg that measures 6. **Dimensions must be included**
200
A line that intersects a circle's circumference at one distinct point where the segment is outside the circle.
Tangent Line
200
What is the center of the following circle:
(x-3)^2+(y+2)^2=9
(3,-2)
200
Draw the shape that would be created if the shape below was rotated about line g; include all your dimensions
200
Negative angles go in which direction?
Clockwise
200
What is the surface area of a sphere?
SA=4pir^2
300
Space inside a 3D shape
Volume
300
True or False:
Inscribed quadrilaterals have opposite angles that are congruent
False; inscribed quadrilaterals have opposite angles that are supplementary
300
There is an ice cream cone and a scoop of ice cream. The volume of the cone is 83.78 cubic centimeters. What is the combined volume of the cone and scoop of ice cream? Round your answer to the nearest hundredth.
V= 351.86 cm^3
300
tan(180)
0
300
Given the angle below, what is the reference angle?
(3pi)/4
45o
400
An angle whose vertex is on the circumference of a circle
Bonus: this angle is __________ of the intercepted arc
Inscribed Angle
Bonus: half
400
In the diagram above of circle A, FB and FC are tangent to circle A at B and C respectively. If AB=5 and AD=FD, determine the length of FB in simplest radical form.
FB=
5sqrt(3)
400
Find the volume of this 3D shape below:
V = 32 cm3
400
An angle of 432 can be written as b(pi) in radians where b is a constant. Determine the value of b.
12/5
400
If the measure of <UYV is 70o, what is the measure of <UWV
35o
500
A segment drawn from one point on the circle's circumference to another point on the circles circumference.
Chord
500
Find the circumference and Area of the circle with the equation (Leave answers in terms of pi):
(x+5)^2+(y+1)^2=25
Circumference:
10pi
Area:
25pi
500
The prism below represents the gift that Eric is wrapping for his friend's birthday. If one roll of paper covers 22 cm2 , how many rolls of wrapping paper will Eric need to wrap the present?
6 rolls of paper
500
How many rotations (or turns) are there in a 720o angle?
2
500
Which shape has the larger volume below?
The cylinder
Volumecylinder: 311.6 in3
Volumecone: 287.97 in3
600
A 2D figure found by slicing a 3D figure horizontally, vertically, or diagonally
Cross Section
600
Determine the area of the shaded region to the nearest whole number.
Area of the shaded =
1056 cm^2
600
What is the vertical cross section of the shape below?
Pentagon
600
What is the first positive co-terminal angle to
(-5pi)/3
pi/3
600
Given the volume of the figure, determine the measure of the radius.
r=3 m
700
Angles that lie in the same location in the unit circle but have measurements that are multiples of full rotation around the circle
Co-terminal angles
700
Determine the center and the radius of the circle whose equation is:
x^2+y^2-4y-10x=-13
Center: (5,2)
Radius: 4
700
The cube below is filled with water. A screw in the shape of a cylinder is solid and drilled inside of the cube. Determine the volume of water inside the cube. Round to the nearest tenth.
V= 486.9In^3
700
Identify the point on the Unit Circle that corresponds to an angle of 330.
700
Using the circle below find the value of major arc FGH.
x=3
m<FAH=119
Answer:
m(arc)FGH=238