Respuesta :

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Answer:

Radius ≈ 3.5 ft

Step-by-step explanation:

The formula of a circumference of a circle:

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

r - radius

We have C = 21.99 ft. Substitute and solve for r:

[tex]21.99=2\pi r[/tex]             divide both sides by 2π

[tex]r=\dfrac{21.99}{2\pi}[/tex]

Use [tex]\pi\approx3.14[/tex]

[tex]r\approx\dfrac{21.99}{2(3.14)}=\dfrac{21.99}{6.28}\approx3.5[/tex]

The radius of a circle with a circumference of 21.99 feet is 3.50 ft

Circumference of a circle:

  • circumference = 2πr

where

r = radius

Therefore,

circumference = 21.99 ft

circumference = 2πr

circumference = 2 × 3.14 × r

21.99 = 6.28r

divide both sides by 6.28

r = 21.99 / 6.28

r = 3.50159235669

r = 3.50 ft

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