the area of a regular hexagon is given as 384√3
a. how long is each side of a hexagon
b. find the radius of a hexagon
c. find the apothem of a hexagon

  1. 👍 2
  2. 👎 0
  3. 👁 908
  1. A regular hexagon can be divided into 6 equal equilateral triangles.
    So each one has an area of 64√3
    let's look at one of those.
    Area of a triangle = (1/2)absinØ, where a and b are sides with Ø as their contained angle.
    If each side is x, then
    (1/2)x^2 sin60° = 64√3
    (1/2) x^2 (√3/2) = 64√3
    x^2 = 256
    x = 16

    take it from here

    1. 👍 0
    2. 👎 0

    1. 👍 0
    2. 👎 0
  3. Two triangles area similar the sides of one area 4,6,and 7cm,the short est side of the ather is 10cm calculate the lengths of the other two sides of this triangle

    1. 👍 0
    2. 👎 0
  4. A. 4 B.2

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. help hexagon geometry

    A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio of the area of the larger hexagon to the area of the smaller hexagon? Express your answer as a common

  2. Math--Volume and Surface Area

    The volume of a cube is 125 cubic inches. Find the surface area. I know that the volume formula is V=Bh where v=volume, B=area of the base, and h=height. How do I get the surface area though? Also, The surface area of a cube is

  3. Solid Mensuration

    The area of a regular hexagon inscribed in a circle is equal to 166.28 square cm. If the circle is inscribed in a square, find the difference between the area of the square and the hexagon.

  4. geometry

    Answer has to be in exact form. Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.

  1. Math

    What is the area of a square with the same perimeter as a regular hexagon with area 24 square root of 3. Can you please help me wodrk this?

  2. Geometry.

    Find the perimeter of a regular hexagon that has an area of 54 radical 3 units squared.

  3. Physics

    Six charge equal to Q are placed at the corners of regular hexagon of each side x,what is the electric potential at the intersection of the diagonals?

  4. Geometry

    Hi, I'm having a difficult time understanding a couple of Geometry questions on my homework and I'd really appreciate it if someone could answer them and explain to me how to get the same answer. Question 1: A regular pentagon has

  1. geometry

    Find the area of a regular hexagon with the given measurement. 4-inch side A = sq. in.

  2. Math

    what is the area of a regular hexagon inscribed in a circle with area of 9?

  3. 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.

  4. Math

    An equilateral triangle and a regular hexagon have equal perimeters. What is the area of the triangle, if the area of the hexagon is 120? I don't get it

You can view more similar questions or ask a new question.