Question

A circle and a square each have a perimeter of 160 feet. Which has the greater area and by how much

Answer 1

Answer:

$The \: circle \: has \: a \: bigger \: area \: by \approx 438 \: {ft}^{2}$

Explanation:

$Diameter \: of \: circle:160 \div 3.14 \approx 51 \: ft \\ Area \: of \: circle : \frac{3.14 \times {51}^{2} }{4} \approx 2038 \: {ft}^{2} \\ Sides \: of \: square:160 \div 4 = 40 \: ft \\

Area \: of \: square: \: {40}^{2} = 1600 \: {ft}^{2} \\ 2038 - 1600\approx 438 \: {ft}^{2}$