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2 years ago

A regular pentagon is inscribed in ur let of radius 8cm. find the length of one side of the polygon

Mathematics

1 answer:

Sergio039 [100]2 years ago

4 0

9514 1404 393

Answer:

9.404 cm

Step-by-step explanation:

A regular polygon with n sides inscribed in a circle of radius r will have a side length given by ...

s = 2r·sin(180°/n)

For r = 8 and n = 5, this gives a side length of ...

s = 2·8·sin(180°/5) = 16·sin(36°) ≈ 9.404 . . . cm

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Given that T is the centroid of △DEF and FT=12

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$\mathbf{TQ : FT =1 : 2}$

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Substitute 12 for FT in the above ratio

$\mathbf{TQ : 12 =1 : 2}$

Express as fraction

$\mathbf{\frac{TQ }{ 12} =\frac{1 }{ 2}}$

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$\mathbf{TQ =\frac{1 }{ 2} \times 12}$

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$\mathbf{TQ =\frac{1 2}{ 2}}$

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A regular pentagon is inscribed in ur let of radius 8cm. find the length of one side of the polygon​

A regular pentagon is inscribed in ur let of radius 8cm. find the length of one side of the polygon