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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parallel lines, have the same exact slope, hmmm what is the slope of y = -2/3 x + 1/3 anyway? well, low and behold, the equation is already in slope-intercept form, therefore

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$\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{4})~\hspace{10em}slope = m\implies -\cfrac{2}{3}\\\\\\\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{2}{3}(x-9)\\\\\\y-4=-\cfrac{2}{3}x+6\implies y=-\cfrac{2}{3}x+10$