Question

please explain these two problem and convert -47degree 30 minutes into radian

Answer 1

Hey!!
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$|1| . \: \: convert \: \: - 47 \: degrees \: \: 30minutes \\ \\ = > use \: the \: formula \: - \\ \\ \\ radian \: measure \: = \frac{\pi}{180} \times degree \: measure \: \\ \\ = > 30min \: = \frac{30}{60} = \frac{1}{2} degrees \\ \\ = > > \frac{\pi}{180} \times - (47 \times \frac{1}{2} ) \\ \\ = > > \frac{\pi}{180} \times - ( \frac{95}{2} ) \\ \\ = > > \frac{ - 19\pi}{72} radian$


$|2.| convert \: 6 \: radian \: into \: degree \: measure \: \\ \\ = > > use \: the \: formula \: \\ \\ degree \: measure \: = \frac{180}{\pi} \times radian \: measure \: \\ \\ = 180 \times \frac{7}{22} \times 6 \\ \\ = \frac{7560}{22} \\ \\ = > > dividing \: it \: we \: get \: \\ \\ 343 \: degrees \: 38 \: minutes \: and \: 10.99seconds$
= 343 ° 38' 11'' ( approx )


$|3.| find \: radius \: of \: circle \: with \: central \: angle \: of \: 60 \: derees \: and \: arc \: length \: 37.4 \: cm$

Using the Formula ,

Ø = L / R

R = L / Ø

Here Ø = π / 3 [ Radian Measure ]

R = 37.4 × 3 × 7 / 22 = 35 . 7 cm.

Hence the Radius is 35.7 cm.


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Answer 2

Answer:

yes it is correct

Step-by-step explanation: