chevyman112901 chevyman112901
  • 18-02-2020
  • Mathematics
contestada

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

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Kamikazeminem
Kamikazeminem Kamikazeminem
  • 18-02-2020

Answer:

[tex]The \: circle \: has \: a \: bigger \: area \: by \approx 438 \: {ft}^{2} [/tex]

Explanation:

[tex]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} [/tex]

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