Solution: Determine the angle subtended by the sector removed

A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high by cutting a sector off and joining the edges to form a cone. Determine the angle subtended by the sector removed.

Determine the angle subtended by the sector removed

Problem Statement: ME Board October 1991

A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high by cutting a sector off and joining the edges to form a cone. Determine the angle subtended by the sector removed.

Problem Answer:

The angle subtended by the sector removed is 144°.

Solution:

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