Q: 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.

Given: A chord of a circle is equal to the radius of the circle i.e. OA=OB.

Solution :

In OAB,

OA = AB        (Given )

OA = OB          (Radii of circle)

So,  OA=OB=AB

ABC is a equilateral triangle.

So,AOB =

ACBD is a cyclic quadrilateral .

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