If the area of a small size pizza is 78.5 in^{2}, what size pizza box would required for the small pizza? (Note: Pizza boxes are calculated according to the length of one side.)
a. 12 in
b. 11 in
c. 9 in
d. 10 in
d. The area of a small pizza is 78.5 in^{2}. The question requires us to evaluate the diameter of the pizza in order to choose the most appropriate box. Area is similar to πr^{2}. Thus, 78.5 = πr^{2}; divide by π (3.14); 78.5 ÷ 3.14 = πr^{2} ÷ 3.14; 25 = r^{2}; 5 = r. The diameter is twice the radius or 10 inches. Thus, the box is also 10 inches.