# Online Trigonometry Tutoring: Radian and Degree Measures

Home | Online Math Tutoring | Online Trigonometry Tutoring | **Radian And Degree Measures**

**Math** is an essential skill in our everyday life! Our math tutors realize this and hence guide their students towards a better understanding of the new terminologies and methods. With eTutorWorld expert and experienced Math tutors, math becomes not just easy, but a pleasure to learn and master. Each tutoring session is taught using state-of-the-art technology, a student centric approach, individualized teaching and assessments. Gift your child the eTutorWorld advantage and help her to not only master these valuable skills but also have the confidence required to succeed in grade school and beyond. Let your child learn from our highly experienced math tutors for all grades 3 to 12.

## Learn about radian and degree from certified online trigonometry tutor.

### Radian and Degree Measures

- Measure of an angle is determined by the amount of rotation from the initial side to the terminal side.
- Many mathematical calculations in Geometry use degrees to measure and calculate angles.
- Degree measures are used in many practical applications in building and architecture that use

= =

A radian is the measure of a central angle *q* that intercepts an arc ‘*s*‘ equal in length to the radius ‘*r*‘ of the circle.

**✓ Radian** is the measure of an angle that, when drawn as a central angle of a circle, intercepts an arc whose length is equal to the length of the radius of the circle.

**✓ **Radian measure for a full circle is 2π

**✓ **In radians, one complete counterclockwise revolution is 2*π*

**✓ Degrees** are used to measure direction and angle size

**✓ **Full circle = 360°.

**✓ **in degrees, one complete counterclockwise revolution is 360°.

### So, degree and radian measure are related by the equations.

360° = 2*π* radians and

180° = *π* radians

**Example 1**

**Example 1**

**Converting from Degree to Radians = multiply by π**/

**180**

**Convert 70 degrees to radians**

Solution: 70 x *π*/180

= 70 x 3.14/180 (*π* = 3.14)

= 1.221 radians

**Converting from Radians to Degrees = multiply by 180/ π**

Convert 14 radians to degrees

**Solution: **14 × 180/*π*

= 14 × 180/3.14

= 802.54 degrees

**Checkpoint**

Problem 1. Find the radian measure of 225**° **.

Problem 2. Express 1.6 radians to degrees.

Problem 3. Convert π/6 radians to degrees.

Problem 4. Convert 140° to radian measure.

##### Answer Key

- 5
/4 radians*π* - 91.7°
- 30°
- 2.44 radians

Schedule the FREE TRIAL lesson to meet a tutor and get help on any topic you want! Get access to hundreds of math practice worksheets!

*No credit card is required, nor are you under any obligation to make a purchase. Just schedule the FREE TRIAL lesson to meet a tutor & get help on any topic you want!*

Our Learning by Design methodology focuses exclusively on individual students.

Our expert tutors are specially trained to identify and diagnose the needs and skills of each student and plan future tutoring lessons accordingly.

Know more about our Personalised Online Tutoring Packs.

Home

Summer Courses 2020

Tutoring

Test Prep

Worksheets

Pricing

About Us

Blog

Free Trial

Login

Terms of service

Privacy Policy

Money Back Guarantee

Technical requirements

FAQs

Job Opportunities

Sitemap

**Connect with us**

+1-269-763-4602

+1-269-763-5024

**Online test prep and practice**

SCAT

CogAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

©2020 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2020 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird