Each of the circles of equal radii with centres A and B

Home » Aptitude » Plane Geometry » Question

Each of the circles of equal radii with centres A and B pass through the centre of one another circle they cut at C and D then ∠DBC is equal to

1. 60°
2. 100°
3. 120°
4. 140°

Correct Option: C

As per the given in question , we draw a figure two circles equal radii with centres A and B ,

In ∆ ABD,
AD = BD = AB = radius
In ∆ ACB,
AC = CB = AB = radius
∴ ∠DBC = 60° + 60° = 120°