Question

If a chord of a circle subtends an angle of 30° at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?

Answer 1

we this can directly be done by using following theorems
the angle subtended by chords at circumference is twice the angle subtended at the centre
the perpendicular from Centre to a chord bisects the angle subtended by the cOrd at the centre as well as the chord itself