1/2 of the side length p= 1/2 x 4 =2
centre angle=360/6=60 degrees
The APOTHEM bisects or divides the centre angle into two equal angles
1/2 of the centre angle=60/2=30 degrees
tan 30 degrees = 2/APOTHEM
APOTHEM=2/tan 30= 3.46 cm
The APOTHEM is the perpendicular height of the equilateral triangle given in the diagram.
Area of the equilateral triangle
=1/2 x 4 x 3.46
=6.93 cm^2
Area of the regular hexagon= 6 x area of the equilateral triangle= 6 x 6.93 =41.6 cm^2
Hope this helps!
A₅=6*5-4
a₅=30-4
a₅=26
D. 26
Good Studies!!
Answer: 
Step-by-step explanation:
For this exercise it is necessary to remember that the area of a circle can be calculated with the following formula:

Where "A" is the area of the circle and "r" is the radius of the circle.
In this case, based on the information given in the exercise, you know that the circular plate has the following radius:

Therefore, knowing the radius, you can substitute them into the formula and finally, you must evaluate in order to calculate the area of the plate (Remember that you must use 3.14 for
).
Then, you get that this is:

Answer: 
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below;
- Make the equation equal to zero:

-Add 49 at both sides:

- Now, you must take the square root of both sides of the equation, then you obtain the following roots:

- Then you have:


Here you go, hope it helped you out