In a pie diagram, there are four slices with angles 150°, 90°, 60° and 60°

In a pie diagram, there are four slices with angles 150°, 90°, 60° and 60°. A new pie diagram is formed by deleting one of the slices having angle 60° in the given pie diagram. In the new pie diagram

  1. The largest slice has angle 150°
  2. The smallest slice has angle 70°
  3. The largest slice has angle 180°
  4. The smallest slice has angle 90°

Answer

When one slice of pie diagram is deleted, the portion of other slices will increase in proportionally.

Total New = 150° + 90° + 60° = 300°

New slice of 150° slice = 150°/300° × 360° = 180°

New slice of 90° slice = 90°/300° × 360° = 108°

New slice of 60° slice = 60°/300° × 360° = 72°

Thus, the smallest slice has angle 72° and the largest slice has angle 180°.

The correct option is C.