jmc

Question

A paper cone is to be made from a three-quarter circle having radius 4 inches (shaded). What is the length of the arc on the discarded quarter-circle (dotted portion)? Express your answer in terms of

π

.

Accepted Answer

The total circumference of the original circle was 2 4 = 8. The quarter-circle has length that is 14 of this, or 14 8 = 2 inches.