The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60° 
The area of a circle is: πr² 
78.54 in² divided by pi is 25 making the radius = 5 
I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30° 
Sin(30) = s/5 
5*Sin(30) = s 
12*s = perimeter hexagon
(remember s is half the hexagon side) 
12*5*Sin(30) = perimeter hexagon 
30 inches  = perimeter 
 
        
        
        
Answer:
the answer is 12
Step-by-step explanation:
p(n)= 6-2(1+n)
so if p(2)
then n=2
therefore, 
p(2)= 6-2(1+2)
 = 4×3
 =12
 
        
             
        
        
        
Answer:
 
 
Step-by-step explanation:
A=2i+3j+4k
B=i-2j+3k
Sum of the vectors:
A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k 
 
 
Direction of the sum of the vectors:

 
        
             
        
        
        
2. Eight cards are marked : (3,4,5,6,7,8,9,10), such that each card has
exactly one of theses numbers. A card is picked without looking.
Determine the probability of choosing a number greater than 5. (decimal)
A .625
B 1.75
C .50
D .60
The answer is C.