3A trigonometry: A regular pentagon is inscribed in a circle of radius 10cm. Calculate to two decimal places: a) the perimeter of this pentagon. b) the area of this pentagon. Please explain answer :)

Question

istim · Answer

The radius is probably the length of a side right?

anonymous · Answer

yes i would believe so

istim · Answer

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anonymous · Answer

so could i make the assumption that all sides are equal within a circle?

istim · Answer

Maybe. I'm not to sure. So, perimeter is radius times 5.

anonymous · Answer

not exactly

istim · Answer

And maybe we could divide the pentagon into 5 small, equal lengths? And figure out the area that way?

anonymous · Answer

in the top half of the circle 2 right angle triangles are produced

anonymous · Answer

and the law of Pythagoras states that should a and b = 10 then the hypotenuse would equal 14.14

directrix · Answer

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