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Math Problems
Precalculus
Convert between radians and degrees
Which of the following degree measures is equal to
10
π
10\pi
10
π
radians? (The number of degrees of arc in a circle is
360
360
360
. The number of radians of arc in a circle is
2
π
2\pi
2
π
.)
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Express in radians
4
8
∘
3
7
′
3
0
′
′
48^\circ 37' 30''
4
8
∘
3
7
′
3
0
′′
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The questions below are posed in order to help you think about how to find the number of degrees in
25
π
18
\frac{25 \pi}{18}
18
25
π
radians.
\newline
What fraction of a semicircle is an angle that measures
25
π
18
\frac{25 \pi}{18}
18
25
π
radians? Express your answer as a fraction in simplest terms.
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Convert the angle
11
π
4
\frac{11 \pi}{4}
4
11
π
radians to degrees.
\newline
Answer:
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Convert the angle
17
π
12
\frac{17 \pi}{12}
12
17
π
radians to degrees.
\newline
Answer:
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The approximate areas of Arkansas and Puerto Rico are listed below:
\newline
Arkansas:
1.38
×
1
0
5
1.38 \times 10^{5}
1.38
×
1
0
5
square kilometers
\newline
Puerto Rico:
5.33
×
1
0
3
5.33 \times 10^{3}
5.33
×
1
0
3
square kilometers
\newline
How many times larger is Arkansas than Puerto Rico? Write your answer in standard notation, rounding to the nearest tenth.
\newline
Answer:
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