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 2π

✓  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° = 2π radians and

180° = π radians

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.

Learn more about Scientific Method and other important topics with 7th Grade Science Tutoring at eTutorWorld. Our expert science tutors break down the topics through interactive one-to-one sessions. We also offer the advantage of customized lesson plans, flexible schedules and convenience of learning from home.

Pricing for Online Tutoring