Geometry

posted by .

Please Help Me!
Find the area of this polygon rround to the nearest tenth.
The polygon is a hexagon with six sides, and all they give is the apothem which is 6 inches long, what is the area?
I know the formula is A=1/2ap
But can anyone help!

  • Geometry -

    The polygon can be divided up into six triangles, each with base=s and height=6

    Since it is a hexagon, you know the triangles are equilateral triangles, with height (apothem) = s*sqrt(3)/2

    So, if the apothem is 6, 6 = s*sqrt(3)/2, and s = 12/sqrt(3) = 4sqrt(3)

    A = 1/2 * a * p
    = 1/2 * 6 * 6*4sqrt(3)
    = 72sqrt(3)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math--Area

    Find the area of each regular polygon to the nearest tenth. Octagon with side length of 10 kilometers. Heres what I tried; but I don't know if im on the right track. Area=1/2 * Perimeter* Apothem Perimeter=base of octagon* number of …
  2. Math/Geometry

    Can you help me with this? Find the area of each regular polygon. Round to the nearest tenth. 1. an equilateral triangle with an apothem 8.9 inches long
  3. Geometry

    Find the area of a circle circumscribed about a regular hexagon with an apothem of 5 inches. Round to the nearest tenth
  4. Identifying patterns

    If the pattern of polygons continues, how many sides will polygon 98 have?
  5. algebra

    The apothem of a regular polygon is the distance from the center of the polygon to a side. Explain how to derive a formula for the area of a regular polygon using the apothem.
  6. algebra

    the apothem of a regular polygon is the distance from the center of the polygon to a side. Explaiin how to derive a formula for the area of a regular polygon using the apothem.
  7. Geometry - Area

    Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round your answer to the nearest tenth.
  8. math

    The apothem of a regular polygon is the distance from the center to any side. If the length of the apothem remains constant at 10 inches, the formula for the perimeter of a regular polygon as a function of the number of sides is ( …
  9. Math Geometry

    Polygon ABCD is similar to polygon WXYZ, and and are corresponding sides. You know the perimeter of each polygon, and you know the measure of BC. What can you find?
  10. math

    A regular polygon is inscribed in a circle of radius 9 cm. Calculate the perimeter of the polygon to the nearest tenth if the polygon has 6 sides.

More Similar Questions