Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Which of the following radian measures is equal to
15
0
∘
150^{\circ}
15
0
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
π
3
\frac{\pi}{3}
3
π
radians
\newline
(B)
π
2
\frac{\pi}{2}
2
π
radians
\newline
(C)
2
π
3
\frac{2 \pi}{3}
3
2
π
radians
\newline
(D)
5
π
6
\frac{5 \pi}{6}
6
5
π
radians
View step-by-step help
Home
Math Problems
Algebra 2
Convert between radians and degrees
Full solution
Q.
Which of the following radian measures is equal to
15
0
∘
150^{\circ}
15
0
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
π
3
\frac{\pi}{3}
3
π
radians
\newline
(B)
π
2
\frac{\pi}{2}
2
π
radians
\newline
(C)
2
π
3
\frac{2 \pi}{3}
3
2
π
radians
\newline
(D)
5
π
6
\frac{5 \pi}{6}
6
5
π
radians
Convert to radians:
We need to convert degrees to radians using the formula
radians
=
degrees
×
(
π
/
180
)
\text{radians} = \text{degrees} \times (\pi/180)
radians
=
degrees
×
(
π
/180
)
.
Plug in degrees:
Now, plug in
150
150
150
degrees into the formula:
radians
=
150
×
(
π
/
180
)
\text{radians} = 150 \times (\pi/180)
radians
=
150
×
(
π
/180
)
.
Simplify fraction:
Simplify the
fraction
: radians =
(
150
180
)
×
π
=
(
5
6
)
×
π
(\frac{150}{180}) \times \pi = (\frac{5}{6}) \times \pi
(
180
150
)
×
π
=
(
6
5
)
×
π
.
Final conversion:
So,
150
150
150
degrees is equal to
(
5
π
/
6
)
(5\pi/6)
(
5
π
/6
)
radians.
More problems from Convert between radians and degrees
Question
Find the measure of a negative angle coterminal with
18
0
∘
180^\circ
18
0
∘
.
\newline
____
∘
^\circ
∘
Get tutor help
Posted 1 year ago
Question
Find the measure of the reference angle for a
17
0
∘
170^\circ
17
0
∘
angle.
Get tutor help
Posted 1 year ago
Question
How many radians is
6
0
∘
60^\circ
6
0
∘
?
\newline
Choices:
\newline
[
A
]
π
3
radians
[A]\frac{\pi}{3}\text{ radians}
[
A
]
3
π
radians
\newline
[
B
]
π
2
radians
[B]\frac{\pi}{2}\text{ radians}
[
B
]
2
π
radians
\newline
[
C
]
π
4
radians
[C]\frac{\pi}{4}\text{ radians}
[
C
]
4
π
radians
\newline
[
D
]
π
6
radians
[D]\frac{\pi}{6}\text{ radians}
[
D
]
6
π
radians
Get tutor help
Posted 1 year ago
Question
Which of the following radian measures is equal to
9
0
∘
90^{\circ}
9
0
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
π
3
\frac{\pi}{3}
3
π
radians
\newline
B
π
4
\frac{\pi}{4}
4
π
radians
\newline
(C)
π
2
\frac{\pi}{2}
2
π
radians
\newline
(D)
π
6
\frac{\pi}{6}
6
π
radians
Get tutor help
Posted 1 year ago
Question
Which of the following radian measures is equal to
22
5
∘
225^{\circ}
22
5
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
π
4
\frac{\pi}{4}
4
π
radians
\newline
B
π
2
\frac{\pi}{2}
2
π
radians
\newline
(C)
3
π
4
\frac{3 \pi}{4}
4
3
π
radians
\newline
(D)
5
π
4
\frac{5 \pi}{4}
4
5
π
radians
Get tutor help
Posted 1 year ago
Question
Which of the following radian measures is equal to
13
5
∘
135^{\circ}
13
5
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
π
4
\frac{\pi}{4}
4
π
radians
\newline
(B)
π
2
\frac{\pi}{2}
2
π
radians
\newline
(C)
3
π
4
\frac{3 \pi}{4}
4
3
π
radians
\newline
(D)
π
\pi
π
radians
Get tutor help
Posted 1 year ago
Question
Which of the following radian measures is equal to
33
0
∘
330^{\circ}
33
0
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
15
π
6
\frac{15 \pi}{6}
6
15
π
radians
\newline
B
7
π
6
\frac{7 \pi}{6}
6
7
π
radians
\newline
(C)
11
π
6
\frac{11 \pi}{6}
6
11
π
radians
\newline
(D)
13
π
6
\frac{13 \pi}{6}
6
13
π
radians
Get tutor help
Posted 6 months ago
Question
Which of the following radian measures is equal to
7
5
∘
75^{\circ}
7
5
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
π
12
\frac{\pi}{12}
12
π
radians
\newline
B
π
3
\frac{\pi}{3}
3
π
radians
\newline
(C)
5
π
12
\frac{5 \pi}{12}
12
5
π
radians
\newline
(D)
7
π
12
\frac{7 \pi}{12}
12
7
π
radians
Get tutor help
Posted 1 year ago
Question
Which of the following radian measures is equal to
24
0
∘
240^{\circ}
24
0
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
4
π
3
\frac{4 \pi}{3}
3
4
π
radians
\newline
B
5
π
3
\frac{5 \pi}{3}
3
5
π
radians
\newline
(C)
7
π
3
\frac{7 \pi}{3}
3
7
π
radians
\newline
(D)
11
π
3
\frac{11 \pi}{3}
3
11
π
radians
Get tutor help
Posted 1 year ago
Question
Which of the following radian measures is equal to
12
0
∘
120^{\circ}
12
0
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
π
3
\frac{2 \pi}{3}
3
2
π
radians
\newline
(B)
π
\pi
π
radians
\newline
(C)
4
π
3
\frac{4 \pi}{3}
3
4
π
radians
\newline
(D)
5
π
3
\frac{5 \pi}{3}
3
5
π
radians
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant