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Elementary Geometry for College St...
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Elementary Geometry for College St...
In Exercises 17 to 30, use the formula
Find the area of a regular pentagon with an apothem of length a = 6.5 in. and each side of length s = 9.4 in.
To find:
The area of a regular pentagon.
1) The perimeter of a regular polygon is given by P = ns, where n is the number of sides and s is the length of any side.
2) The area of a regular pentagon with apothem a and perimeter P is given by
Calculation:
It is given that the apothem and length of the regular pentagon are 6.5 and 9.4 in respectively.
The total number of sides in a regular pentagon is 5.
Use the formula for the perimeter of regular polygon, i.e., perimeter = ns
Substitute n = 5 and s = 9.4 in P = ns.
P = (5)(9.4)
= 47 in
Use the formula of area of regular pentagon,
Substitute a = 6
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