Question

A chord of a circle of radius 6 cm is making an angle 60° at the center .find the length of the chord

Answer 1

first you have to join the radius with the chord
we will get an isosceles triangle
because it's given that it makes 60 degree angle at the centre and we know in isosceles Triangles two sides are equal has the angle made by the two sides are also equal
assuming the two equal angles to be x
by angle sum property we will get all angles are equal to 60 degree
hence it is an equilateral triangle
then the length of the chord is 6 CM