Skip Navigation Links
   
Geometry: Angle at the Centre
To enroll in any of our courses, click here
 
   
Circle: Angle at the Centre

The angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.

People who saw this lesson also found the
following lessons useful:
Problems based on Time, Distance and Speed
Median
Trigonometric Identity: Examples
Combination of Solids
Concentric Circles
Example: In the fig. below, P, R, and S are three points on a circle such that the angles subtended by the chords PS and PR at the centre O are 90 and 120, respectively. Determine SPR.
Solution: Given,
SOP = 90 and POR = 120
Therefore,
SOR = 360 - (SOP + POR)
= 360 - (90 + 120)
= 150

Now,
2SPR = SOR
SPR = 1/2SOR
SPR = 1/2 x 150 = 75.

 
   
As many of you know, Winpossible's online courses use a unique teaching method where an instructor explains the concepts in any given area to you in his/her own voice and handwriting, just like you see your teacher explain things to you on a blackboard in your classroom. All our courses include teacher's instruction, practice questions as well as end-of-lesson quizzes for practice. You can enroll in any of our online courses by clicking here.

The format of Winpossible's online courses is also very suitable for teachers who are using an interactive whiteboard such as Smartboard on Promethean in their classrooms, because the course lessons can be easily displayed on such interactive whiteboards. Volume pricing is available for schools interested in our online courses. For more information, please contact us at educators@winpossible.com.

 
       
     
 Copyright © Winpossible, 2010 - 2011
Best viewed in 1024x768 & IE 5.0 or later version
dy>