Cutting insert, cutting tool, and method of manufacturing machined product using the same

A cutting insert, comprising:

• a polygonal shaped first surface comprising:
• a first corner having a first interior angle;
• a second corner having a second interior angle larger than the first interior angle;
• and
• a side located between the first corner and the second corner;
• a second surface;
• a side surface located between the first surface and the second surface and comprising:
• a corner side surface connected to the first corner and having a curved shape;
• and
• a first side surface connected to the side and having a planar shape;
• and
• an edge comprising:
• a corner edge located at an intersection of the first surface and the corner side surface;
• a second edge located at an intersection of the first surface and the first side surface and inclined toward the second surface as separating from the corner edge at a first inclination angle on a basis of a vertical plane perpendicular to a central axis extending between the first and second surfaces, and
• a first edge located at an intersection of the first surface and the first side surface and inclined toward the second surface as separating from the second edge at a second inclination angle larger than the first inclination angle on the basis of the vertical plane.