Joshua and Kay are out for a walk on a rainy day. They come to the edge of a large, circular puddle that has a radius of 3 feet. Joshua is wearing boots, so he walks straight through the center of the puddle to the other side. Kay forgot to wear her boots, so she walks around the outside of the puddle to meet Joshua on the other side. How much further, in feet , did Kay walk than Joshua?

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.