Respuesta :

Answer:

25.5ft to the nearest tenth

Step-by-step explanation:

The question above is answered below.

Circumference of a circle is measured by 2pieR; that is:

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

where, pie = 22/7

Since we are to get the value of radius, we make r subject of the formula above.

Recall

[tex]c = 2 \: \pi \: r \\ make \: r \: subject \: of \: formula \: by \: dividing \: through \: by \: 2\pi \\ \frac{c}{2\pi} = \frac{2 \: \pi \: r}{2\pi} \\ \\ r = \frac{c}{2\pi} [/tex]

Where,

C = 160ft; pie = 22/7

Thus,

[tex]r = \frac{160}{2 \times \frac{22}{7} } ft[/tex]

[tex]r = \frac{160 }{ \frac{44}{7} } ft[/tex]

[tex]r = \frac{160}{6.2857} ft[/tex]

[tex]r = 25.45 \: ft[/tex]

[tex]r = 25.5 ft \: \: to \: the \: nearest \: tenth[/tex]

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