Question

edwards grandmother used to make him pannukakku when he was little. he wants to surprise her by making it himself. the recipe he found requires a 9 - in. by 13 - in. rectangular pan. edward would like to use a round cast iron pan like his grandmother does. what is the area of a 9 - in. by 13 - in. pan? 117 in² edward has four round pans, each with a different radius. he needs to use the pan that is closest in area to the rectangular pan. which pan should edward use? a pan with a radius of 4 in. a pan with a radius of 6 in. a pan with a radius of 8 in. a pan with a radius of 10 in.

Explanation:

Step1: Calculate the area of the rectangular pan

The area formula for a rectangle is \(A = l\times w\). Given \(l = 13\) in and \(w=9\) in, then \(A_{rectangle}=13\times9 = 117\) square inches.

Step2: Calculate the area of each round pan

The area formula for a circle is \(A=\pi r^{2}\).

• For \(r = 4\) in: \(A_{1}=\pi\times4^{2}=16\pi\approx16\times3.14 = 50.24\) square inches.
• For \(r = 6\) in: \(A_{2}=\pi\times6^{2}=36\pi\approx36\times3.14 = 113.04\) square inches.
• For \(r = 8\) in: \(A_{3}=\pi\times8^{2}=64\pi\approx64\times3.14 = 200.96\) square inches.
• For \(r = 10\) in: \(A_{4}=\pi\times10^{2}=100\pi\approx100\times3.14 = 314\) square inches.

Answer:

A pan with a radius of \(6\) in.