rachaelmorozov
rachaelmorozov rachaelmorozov
  • 04-06-2019
  • Mathematics
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Respuesta :

SilverChain SilverChain
  • 04-06-2019

Answer:

112.98

Step-by-step explanation:

37.68/2π = 5.9969

5.9969²π = 112.98

Answer Link
kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 04-06-2019

ANSWER

The area is 112.9 square units to the nearest tenth.

EXPLANATION

The circumference is given by:

[tex]C=2\pi \: r[/tex]

This implies that,

[tex]37.68 = 2 \: \pi \: r[/tex]

[tex] \frac{37.68}{2\pi} = r[/tex]

[tex]r = 5.997[/tex]

The area of a circle is

[tex]\pi \: {r}^{2} [/tex]

We substitute the radius to get;

[tex]3.14 \times 5.997 ^{2} = 112.93 \: sq. \: units[/tex]

To the nearest tenth, the area of the circle is 112.9 square units.

Answer Link

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