Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 27

A radian is how many degrees?

Short Answer

Expert verified
1 radian is approximately 57.2958 degrees.

Step by step solution

01

Identify the conversion factor

Recognize that the conversion factor from radians to degrees is \( \frac{180}{\pi} \). This is because the circumference of a circle is \( 2\pi \) radians, which is equivalent to 360 degrees. Hence, \( 1 \) radian is \( \frac{360}{2\pi} = \frac{180}{\pi} \) degrees.
02

Apply conversion factor to 1 radian

Using the conversion factor \( \frac{180}{\pi} \), recognize that \( 1 \) radian equals \( \frac{180}{\pi} \) degrees.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In nanoseconds, how long is the period of the cesium- 133 radiation used to define the second?

Explain why measurement standards based on laboratory procedures are preferable to those based on specific objects such as the international prototype kilogram.

What facts might a scientist use in estimating Earth's age?

A hydrogen atom is about \(0.1 \mathrm{nm}\) in diameter. How many hydrogen atoms lined up side by side would make a line \(1 \mathrm{cm}\) long?

The Moon barely covers the Sun during a solar eclipse. Given that Moon and Sun are, respectively, \(4 \times 10^{5} \mathrm{km}\) and \(1.5 \times 10^{8} \mathrm{km}\) from Earth, determine how much bigger the Sun's diameter is than the Moon's. If the Moon's radius is \(1800 \mathrm{km},\) how big is the Sun?
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Translational Dynamics

Read Explanation

Thermodynamics

Read Explanation

Fields in Physics

Read Explanation

Fluids

Read Explanation

Wave Optics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free