+252 Jessica wants to dress up as a witch for a costume party. She is making her own costume. She wants a hat with a slant height of 14 inches and a base radius of 9 inches. What is the lateral area of her hat?
A) 396 in squared
B) 254 in squared
C) 198 in squared
D) 63 in squared
+9465 Her hat is a cone. If you "unfold" a cone, it makes a sector of a circle.
lateral area of cone = area of sector
area of sector / area of circle = circumference of base / circumference of circle
area of sector / [pi * 142] = [2pi * 9] / [2pi * 14]
area of sector / [pi * 142] = 9 / 14
area of sector = [pi * 142] * 9/14 = 126pi
≈ 396 in2
+9465 Her hat is a cone. If you "unfold" a cone, it makes a sector of a circle.
lateral area of cone = area of sector
area of sector / area of circle = circumference of base / circumference of circle
area of sector / [pi * 142] = [2pi * 9] / [2pi * 14]
area of sector / [pi * 142] = 9 / 14
area of sector = [pi * 142] * 9/14 = 126pi
≈ 396 in2
