01
Sep
Question 2: A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.
Prerequisite
The chord of the size of radius makes an equilateral triangle. That gives us the angle subtended for the corresponding chord at the centre. Rest is applying the following theorem to solve this question.
Theorem 10.8: The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
Different types of angles: In case you have any doubts about the different types of angles (like reflex angle, used in this question), you are recommended to watch the following video tutorial.
Chapter 10 – Circles
