Respuesta :

Solution:

Note that:

  • Radius = 6.5 ft.
  • Diameter = 2r
  • Circumference = πd

Finding the diameter:

  • 2r = 2(6.5) ft = 13 ft.

Finding the circumference (In decimal):

  • πd = π x d ≈ 3.14 x 13 ≈ 40.82 ft

Finding the circumference (In fraction):

  • πd = π x d = 22/7 x 13 = 286/7 ft

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  • Radius = 6.5 feet

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  • i) Diameter
  • ii) Circumference
  • iii) Area

[tex]\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Explanation :-}}}}}}[/tex]

#i

Finding diameter⤵️

[tex] \boxed{ \sf \: diameter = 2 \times radius}[/tex]

[tex] \tt \: d = 2 \times 6.5[/tex]

[tex] \tt \: d = 13 \: feet[/tex]

Finding circumference⤵️

[tex] \boxed{ \sf \: circumference = 2\pi r}[/tex]

[tex] \tt \: circumference = 2 \times 3.14 \times 6.5[/tex]

[tex] \tt \: circumference = 13 \times 3.14[/tex]

[tex] \tt \: circumference = 40.82 \: feet[/tex]

Finding area⤵️

[tex] \boxed{ \sf \: area = \pi r ^{2} }[/tex]

[tex] \tt \: area = \frac{22}{7} \times {6.5}^{2} [/tex]

[tex] \tt \: area = \frac{22}{7} \times ( \frac{13}{2} )^{2} [/tex]

[tex] \tt \: area = \frac{ \cancel{22}}{7} \times \frac{169}{ \cancel4} [/tex]

[tex] \tt \: area = \frac{11}{7} \times \frac{169}{2} [/tex]

[tex] \tt \: area = \frac{1859}{14} ≈132.78 \: {feet}^{2} [/tex]

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