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Let’s check out your problem:
Which of the following radian measures is equal to
10
5
∘
105^{\circ}
10
5
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
7
π
12
\frac{7 \pi}{12}
12
7
π
radians
\newline
(B)
11
π
12
\frac{11 \pi}{12}
12
11
π
radians
\newline
(C)
13
π
12
\frac{13 \pi}{12}
12
13
π
radians
\newline
(D)
17
π
12
\frac{17 \pi}{12}
12
17
π
radians
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Math Problems
Algebra 2
Convert between radians and degrees
Full solution
Q.
Which of the following radian measures is equal to
10
5
∘
105^{\circ}
10
5
∘
?
\newline
Choose
1
1
1
answer:
\newline
(A)
7
π
12
\frac{7 \pi}{12}
12
7
π
radians
\newline
(B)
11
π
12
\frac{11 \pi}{12}
12
11
π
radians
\newline
(C)
13
π
12
\frac{13 \pi}{12}
12
13
π
radians
\newline
(D)
17
π
12
\frac{17 \pi}{12}
12
17
π
radians
Convert to radians:
Convert degrees to radians using the conversion factor
π
radians
180
degrees
\frac{\pi \text{ radians}}{180 \text{ degrees}}
180
degrees
π
radians
.
\newline
Calculation:
10
5
∘
×
π
180
=
105
180
π
=
7
12
π
105^\circ \times \frac{\pi}{180} = \frac{105}{180} \pi = \frac{7}{12} \pi
10
5
∘
×
180
π
=
180
105
π
=
12
7
π
radians.
Check options:
Check the options to see which one matches the calculated value.
\newline
(A)
7
π
12
\frac{7\pi}{12}
12
7
π
radians matches the calculated value.
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0
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\newline
Choose
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1
1
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\newline
(A)
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\newline
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1
1
answer:
\newline
(A)
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\newline
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1
1
answer:
\newline
(A)
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0
∘
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\newline
Choose
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1
1
answer:
\newline
(A)
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1
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(A)
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0
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\newline
Choose
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1
1
answer:
\newline
(A)
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\newline
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1
1
1
answer:
\newline
(A)
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