Question

calcula la medida del área de la sombreada se cada circulo ​

Answer 1

Respuesta:

Explicación paso a paso:

1 )

Radio del círculo grande: $r_{1} = \frac{24cm}{2} = 12cm$

Radio del círculo pequeño $: r_{2} = \frac{24cm}{4} = 6cm$

$Area -sombreada: As = ?$

$As = \pi r^{2} _{1} -2\pi r^{2} _{2}$

$As = \pi (12cm)^{2} -2\pi (6cm)^{2} = \pi (144cm^{2} -2(36cm^{2}) )=\pi (144cm^{2}-72cm^{2} )$

$As = \pi (72cm^{2} ) = (3.14)(72cm^{2} )$

$As = 226.08cm^{2}$

Respuesta:

     $226.08cm^{2}$

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2)

$Radio: r = 11cm$

$A = \frac{\pi r^{2} }{4}$

$A = \frac{\pi (11cm)^{2} }{4} = \frac{(3.14)(121cm^{2} )}{4} = \frac{379.94cm^{2} }{4}$

$A = 94.985cm^{2}$

Respuesta:

   $94.985cm^{2}$

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3 )

$Radio-mayor : R = (5cm+4cm) = 9cm$

$Radio-menor: r = 5cm$

$Area-sombreada: As = ?$

$As = \pi (R^{2} -r^{2} )$

$As = \pi [ (9cm)^{2} -(5cm)^{2} ] = \pi ( 81cm^{2} -25cm^{2} )$

$As = \pi (56cm^{2} ) = (3.14)(56cm^{2} )$

$As = 175.84cm^{2}$

Respuesta:

   $175.84cm^{2}$