a chord of a circle is equal to the radius of a circle.find the angle subtended by the chord at a point on the minor arc as well as the major arc............plzzzzzzzzz reply sooon.
Consider the following diagram:
AB is a chord of length equal to the radius of the circle.
OA and OB are the radii.
Thus, triangle AOB is an equilateral triangle.
That is the central angle intercepts the minor arc AB.
Therefore, the inscribed angle which is half of the central angle, is
Now Consider the arc ACB.
The arc ACB makes an angle at the center O.
Observe the figure.
Thus the angle subtended by the chord at a poiny on the minor arc is and the angle subtended by the chord at a point on the major arc is