Math Algebra Need Help

Question

The directions on a box of Luigi’s Pizza Mix are as follows: Spread the dough to the edges of a circular pan or a 10-inch by 14-inches rectangular pan. You will need to use the following formulas to answer the questions below.

For a circle: A = πr2 where π = 3.14C = 2πr

For a rectangle: A = lw P = 2l + 2w

Answer 1

Area -f the 10 by 14 inch pan = 140 in^2

a circular pan with same are would mean 140 = pi(r^2)

r^2 = 140/pi = about 140/3.14 = 44.586

r = sqr44.586 = about 6.68

diameter of the circular pan =2r = 13.35 inches

perimeter of the rectangular pan = 2(10+14) = 2(24) = 48 inches

circumference of the circular pan = pid = (3.14)(13.35) = 41.933 inches

circles have greater area for a fixed perimeter or other polygon of the same area.

Maybe that's how pizzas came to be circular, to save money on the pan cost