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THE PROBLEM
1. If the
radius =
10 units, find the perimeter and area of the circumscribed hexagon
2. Generalize
your work in Question 1 to a circle of radius r
You may recall
finding the perimeter and the area of a hexagon in the unit Do bees Build It
Best? from Year 2 by subdividing the hexagon into central triangles.
  Well,
that is exactly what you should do.
Lets start by
isolating one of the equilateral triangles shown here.
Now, since the complete circle is 360 o
the measurement
of the angle A is 360
÷ the number of triangles.
How the base of
this triangle compare with the sides of the hexagon?
Great!
Now label every
part of the triangle.
Remember, the
radius is equal to 10 units.
h = r
S Why are you doing all this? Think... So, you did not know or you just want to check if you are correct? Okay, you are doing ALL this because you want to find the perimeter of the hexagon and to do that you need to know the value of S (the side of the hexagon). Also you were asked to find the area of the hexagon. To do that you will need to find the area of one of the triangles formed inside the hexagon. The area of the hexagon will be 6 times the area of one triangles. Can you explain why times 6? Great! Now click here to go back to the problem. Mr. Lora |
