Question

George made a conical hat to match his costume for a party. The hat has a slant height of 14 inches and a base circumference of 16 inches. The cone is open at one end. To the nearest square unit, what is the lateral area of the hat?

Answer 1

the formula for the surface area of a straight cone is
 L. S. A. = π rl
 where,
 l = is the height of inclination of the cone
 r = radius of the base:
 For r we have:
 2 * π * r = 16
 r = 8 / π
 Substituting values:
 L. S. A. = π (8 / π) (14)
 L. S. A. = 112 in ^ 2
 Answer:
 The lateral area of the hat is:
 L. S. A. = 112 in ^ 2