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Math Problems
Algebra 2
Find the radius or diameter of a circle
Find the surface area of the sphere. Round to the nearest tenth.
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What is the side length of a square that has an area of
144
f
t
2
144 \mathrm{ft}^{2}
144
ft
2
?
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Find the volume of a hemisphere with a great circle circumference of
37.7
37.7
37.7
centimeters.
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Leam with an example
\newline
What is the radius of this circle?
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each of the following figure erimeter and area of each
\newline
f are not drawn to scale.
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Find the circumference of the circle below:
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5
5
5
. The area of the shaded sector is
8
π
8 \pi
8
π
and the radius of the circle is
12
12
12
. What is the measure of the central angle?
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The diameter of a circle is equal to the perimeter of a square of equal to and the area of the square is
3136
3136
3136
square cm, is find the circumference of thata circle
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What is the area, in square inches, of the trapezoid below?
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Find the center and the radius of the circle. Then graph the circle.
\newline
(
x
+
3
)
2
+
(
y
−
1
)
2
=
16
(x+3)^{2}+(y-1)^{2}=16
(
x
+
3
)
2
+
(
y
−
1
)
2
=
16
\newline
Use the graphing tool to graph the circle.
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5
5
5
. Find the volume of a hemisphere that has a radius of
8
8
8
centimeters to the nearest tenth.
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Each side of the base of a square pyramid is
12
12
12
units. If the slant height is
23
23
23
units, what is its lateral area?
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Find the volume of an object with a base that is a circle of radius
2
2
2
and cross sections that are squares
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1
1
1
) Find the surface area of the cube
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What is the surface area of the pizza box?
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The rate of a chemical reaction does not depend on the
1
1
1
concentration of the reactants
\newline
2
2
2
presence of a catalyst
\newline
3
3
3
temperature of the reacting system
\newline
4
4
4
energy change associated with the reaction
\newline
1
1
1
\newline
2
2
2
\newline
3
3
3
\newline
4
4
4
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Find the volume
&
\&
&
surface area of the prism.
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Find the approximate area of the shaded region. The two circles are congruent to each other and tangent to the rectangle and each other.
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Determine the range of the following graph:
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40
40
40
. DIG DEEPER A sphere with a radius of
2
2
2
inches is inscribed in a right cone with a height of
6
6
6
inches. Find the surface area and the volume of the cone.
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How many
$
100
\$100
$100
bills can you fit in a pool with a volume of
4
,
725
4,725
4
,
725
feet squared?
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What is the surface area of the triangular prism?
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15
15
15
. Raffie uses a circular cookie cutter with a diameter of
1
1
1
inch to cut four cookie shapes out'of a
2
2
2
-inch square sheet of dough. Exrctly how many square inches of dough are left over?
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4
4
4
. Find the total distance from Mercury to Earth.
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What is the measure of the indicated arc?
\newline
35
35
35
\newline
100
100
100
\newline
50
50
50
\newline
103
103
103
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Gary is designing a room. The design is shown below. What is the area of the room?
\newline
Tabel required
\newline
Galaxy A
23
23
23
5
5
5
G
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Find the area of the shaded region.
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Geometry Worksheet Inside/Outside Angles of a circle
\newline
Find the measure of the arc or angle
\newline
1
1
1
)
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An engineer is planning a new water pipe installation. The circular pipe has a diameter of
d
=
20
c
m
d=20 \mathrm{~cm}
d
=
20
cm
.
\newline
What is the area
A
A
A
of the circular cross section of this pipe?
\newline
Give your answer in terms of pi.
\newline
A
=
□
A=\square
A
=
□
c
m
2
cm^{2}
c
m
2
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A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is
18
π
18 \pi
18
π
meters.
\newline
What is the area
A
A
A
of the cross section of the column?
\newline
Give your answer in terms of pi.
\newline
A
=
□
A=\square
A
=
□
m
2
\mathrm{m}^{2}
m
2
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Use the net below to calculate the surface area of this rectangular prism.
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A triangular prism is shown below.
\newline
Which diagram is a net for this prism?
\newline
What is the surface area of the triangular prism?
\newline
□
\square
□
square feet
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Example
2
2
2
. These two shapes are equivalent. Find the radius of the circle.
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The circle with center
O
O
O
has a circumference of
20
π
20 \pi
20
π
. What is the area of the shaded region?
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A circle with center
C
C
C
and a radius of
10
10
10
inches (in) is shown.
\newline
Rounded to the nearest tenth of an inch, what is the length of arc
X
Y
Z
X Y Z
X
Y
Z
?
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The diagram shows the top view of a building WXYZ. OWX and OZY are sectors of a circle with centre
O
O
O
. Find the area of the top surface of the building.
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11
11
11
. What is the surface area of the rectangular prism shown below?
\newline
15
c
m
15 \mathrm{~cm}
15
cm
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You have to determine the equation of the circle graphed in the picture
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Which diagram is a net for this prism?
\newline
What is the surface area of the triangular prism?
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Find the surface area of the figure.
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Find the surface area of the cylinder:
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Find the value of each variable. For the circle, the dot represents the center.
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I need help figuring out what
3
d
3d
3
d
shape this it
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MODELING WITH MATHEMATICS The diagram shows a projected beam of light from a lighthouse.
\newline
What is the area of water that can be covered by the light from the lighthouse?
\newline
Round your answer to the nearest foot.
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Q. Find the radius of circle whose area is
616
c
m
2
616 \mathrm{~cm}^{2}
616
cm
2
.
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What is the surface area of the prism having the base area
25
m
2
25 \, \text{m}^2
25
m
2
, base perimeter
24
m
24 \, \text{m}
24
m
and length
12
m
12\,\text{m}
12
m
?
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Find the volume of the given solid.
\newline
bounded by the planes
z
=
x
,
y
=
x
,
x
+
y
=
9
z=x, y=x, x+y=9
z
=
x
,
y
=
x
,
x
+
y
=
9
and
z
=
0
z=0
z
=
0
\newline
□
\square
□
\newline
Submit Answer
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Check the position of the Point
(
5
,
6
)
(5,6)
(
5
,
6
)
with respect to its circle
2
x
2
+
2
y
2
+
12
x
−
8
y
+
1
=
0
2x^2+2y^2+12x-8y+1=0
2
x
2
+
2
y
2
+
12
x
−
8
y
+
1
=
0
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A student is constructing a circle graph for the set of data and rounding to the nearest degree as necessary. Find the number of degrees of the central angle for Potato.
\newline
\begin{tabular}{|l|c|}
\newline
\hline \multicolumn{
2
2
2
}{|c|}{ Preferred Vegetable } \\
\newline
\hline \multicolumn{
1
1
1
}{|c|}{ Vegetable } & \begin{tabular}{c}
\newline
Number of \\
\newline
Students
\newline
\end{tabular} \\
\newline
\hline Beans &
36
36
36
\\
\newline
\hline Carrots &
24
24
24
\\
\newline
\hline Peas &
18
18
18
\\
\newline
\hline Potato &
22
22
22
\\
\newline
\hline
\newline
\end{tabular}
\newline
degrees
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Circle
O
O
O
shown below has a radius of
8
8
8
inches. Find, to the nearest tenth, the radian measure of the angle,
x
x
x
, that forms an arc whose length is
12
12
12
inches.
\newline
Answer:
□
\square
□
radians
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