Sketch the Angle in Standard Position

1,517 views · Published 25 September 2012 · 1:29 · Indexed 8 November 2026

Channel: Brian McLogan · 2012 · Education

Watch on YouTube

👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360 degrees. The angle measured in the anti-clockwise direction is called a positive angle while a negative angle is measured in the clockwise direction. We measure angles starting from the positive x-axis.

To sketch an angle in terms of pi, we make use of the knowledge that the angle made by a circle is 2pi and that made by a straight line is pi. So, we first sketch a circle which we will divide into two. Next, we divide each half of the circle into the number of parts corresponding to the denominator of the angle we want to sketch. The number of parts corresponding to the numerator of the angle we are sketching from the 0 radians point is the angle we are looking for.

👏SUBSCRIBE to my channel here:  https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1

❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join

🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7

🎉Follow the Community:  https://www.youtube.com/user/MrBrianMcLogan/community 

Organized Videos:
✅ Angles in Trigonometry
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrdn9zTKTFo5MayxpoQkKWB
✅ Solve Problems with Arc Length
https://www.youtube.com/playlist?list=PL0FAA8F3A4A64C0CD
✅ Angles in Trigonometry | Learn about
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpqCJQreDI0Q7ibZ-q8pQ8v
✅ Sketch Angles in Standard Position
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqYCdsQY6BeWuw4GIxNq-Ps
✅ Find the Quadrant of the Angle
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMquYefa135efFiGsBTEMwZY
✅ Find the Reference Angle
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpxWekQ0Nll5aeJRLj8IAcS
✅ Complement and Supplement of an Angle
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMocTFwM1FKKocsENTOyFjMe
✅ Convert Radians to Degrees 
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqaSH_QGSKbBFVkIZn63I74
✅ Convert Degrees to Radians
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMppuYwc90qqVM-EtIIfu0KJ
✅ Convert Degrees to Degree Minute Seconds
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoAVUc0hQVM9F2mtTZ5zIXP
✅ Convert Degree Minute Seconds to Degrees
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrZmQzUM7FeVAsKtYOqM8VT
✅ Coterminal Angles | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoqhYuu6l44dkl97jg3V62_
✅ Find Coterminal Angles | 0 and 2pi
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrJJVmzS9g-s6nDoIXrIR2l
✅ Find Coterminal Angles | 0 and 360
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoA7QwPW6Wd78ePabiyQwOZ

🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists

🌐 My Website - http://www.freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57

Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
⚡️Instagram - https://www.instagram.com/brianmclogan/
⚡️Twitter - https://twitter.com/mrbrianmclogan
⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/

👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/

👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/

#trigonometry #brianmclogan

More from this channel