Question
upstudy study bank question image url

1. Convert all degrees to radian measures and convert all radian measures to degrees measures. \( \begin{array}{lll}\text { (a) } 79^{\circ} & \text { (f) } 220^{\circ} & \text { (j) }-3 \pi \mathrm{rad} \\ \text { (b) } 25^{\circ} & \text { (g) } \frac{3}{4} \pi \mathrm{rad} & \text { (k) } \frac{7}{4} \pi \mathrm{rad} \\ \text { (c) } 330^{\circ} & \text { (h) } \frac{5}{6} \pi \mathrm{rad} & \\ \text { (d) } 90^{\circ} & \text { (i) } 3 \mathrm{rad} & \text { (l) }-\frac{2}{3} \pi \mathrm{rad} \\ \text { (e) } 120^{\circ} & \end{array} \)

Ask by Watson Mathis. in South Africa
Mar 17,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Here are the conversions: - (a) \(79^\circ = \frac{79\pi}{180} \text{ rad}\) - (b) \(25^\circ = \frac{5\pi}{36} \text{ rad}\) - (c) \(330^\circ = \frac{11\pi}{6} \text{ rad}\) - (d) \(90^\circ = \frac{\pi}{2} \text{ rad}\) - (e) \(120^\circ = \frac{2\pi}{3} \text{ rad}\) - (f) \(220^\circ = \frac{11\pi}{9} \text{ rad}\) - (g) \(\frac{3}{4}\pi \text{ rad} = 135^\circ\) - (h) \(\frac{5}{6}\pi \text{ rad} = 150^\circ\) - (i) \(3 \text{ rad} = \frac{540^\circ}{\pi}\) - (j) \(-3\pi \text{ rad} = -540^\circ\) - (k) \(\frac{7}{4}\pi \text{ rad} = 315^\circ\) - (l) \(-\frac{2}{3}\pi \text{ rad} = -120^\circ\)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Mind Expander

To convert degrees to radians, use the formula: \( \text{radians} = \frac{\text{degrees} \times \pi}{180} \). Conversely, to convert radians to degrees, the formula is: \( \text{degrees} = \frac{\text{radians} \times 180}{\pi} \). Now let's do the conversions: (a) \( 79^\circ = \frac{79\pi}{180} \) rad ≈ 1.38 rad (b) \( 25^\circ = \frac{25\pi}{180} \) rad ≈ 0.44 rad (c) \( 330^\circ = \frac{330\pi}{180} = \frac{11\pi}{6} \) rad ≈ 5.76 rad (d) \( 90^\circ = \frac{\pi}{2} \) rad ≈ 1.57 rad (e) \( 120^\circ = \frac{120\pi}{180} = \frac{2\pi}{3} \) rad ≈ 2.09 rad (f) \( 220^\circ = \frac{220\pi}{180} = \frac{11\pi}{9} \) rad ≈ 3.85 rad (g) \( \frac{3}{4} \pi \text{rad} = 135^\circ \) (h) \( \frac{5}{6} \pi \text{rad} = 150^\circ \) (i) \( 3 \text{rad} = \frac{3 \times 180}{\pi} ≈ 171.89^\circ \) (j) \( -3\pi \text{rad} = -540^\circ \) (k) \( \frac{7}{4} \pi \text{rad} = 315^\circ \) (l) \( -\frac{2}{3} \pi \text{rad} = -120^\circ \) Now you have all the conversions ready to go!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy