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Inscribed Angle Theorem (or Central Angle Theorem)

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First published at 23:43 UTC on November 1st, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over the Inscribed Angle Theorem (or Central Angle Theorem) as well as go over its proof. The inscribed angle theorem states that the inscribed angle on the major arc of a circle which subtends 2 points on the circle is half of the central angle suspended on the same arc and 2 points on the circle. I first prove the theorem for the case where one of the cords of the inscribed angle crosses through the center of the circle and thus form the diameter. I use the proof of this first case to prove the other 2 cases where the center of the circle is located inside the inscribed angle and the case where the center of the circle is on the outside of the inscribed angle. This theorem is very important because it allows the angles of triangles in many applications to be greatly simplified.

This theorem is only for when the inscribed angle is on the major arc but in my later video I prove that if the inscribed angle is on the minor arc then the inscribed angle is supplementary of the half of the central angle.

Download the notes in my video: http://1drv.ms/1IlXDwu

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/inscribed-angle-theorem-or-central-angle-theorem

Related Videos:

Inscribed Angle Theorem: Inscribed on Minor Arc: http://youtu.be/53ueXQa8OEM
Inscribed Angle Theorem: Corollary Properties: http://youtu.be/ONHVPKkdGGI
Proof that Sum of Angles in ANY Triangle = 180 degrees: http://youtu.be/4bI3BXIe2k8
Area of a Triangle Proof - Part 2: When the base is NOT the longest side of the triangle: http://youtu.be/xTVP-HHBP0U
Area of a Triangle - A simple proof that A = b*h/2: http://youtu.be/wUT_KN5pshQ
Similar Triangles - Part 1: http://youtu.be/gXcQEKVcesc
Equation of a Circle and it's proof: http://youtu.be/xMXYJ9UeF4I .

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