SOLUTION: The vertices of a regular pentagon lie on the circumference of a circle radius 10cm. Calculate: a) the lengths of the sides of the pentagon b) the difference in area between the

Algebra ->  Trigonometry-basics -> SOLUTION: The vertices of a regular pentagon lie on the circumference of a circle radius 10cm. Calculate: a) the lengths of the sides of the pentagon b) the difference in area between the      Log On


   

Question 988376: The vertices of a regular pentagon lie on the circumference of a circle radius 10cm.
Calculate:
a) the lengths of the sides of the pentagon
b) the difference in area between the circle and the pentagon
Answer by solver91311(24713) About Me  (Show Source):
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From the Law of Cosines the measure of a side of a regular -gon inscribed in a circle of radius is:



or



If you prefer to work with radians instead of degrees.

John

My calculator said it, I believe it, that settles it