To determine any area of a shape we need to know the formula for the area of that particular shape which is for a regular hexagon is
Area of hexagon = (3 √3) a^2 / 2
where a is the length of the side of the hexagon
So, first, we determine the length of the side of the smaller hexagon from the given area.
3 in^2 = (3 √3) a^2 / 2
6 in^2 = (3 √3) a^2
a^2 = 2 √3 / 3
a = 1.0746 in
The length of the side of the bigger hexagon is twice that of the smaller so,
A = 2a = 2 (1.0746 in ) = 2.1491 in
Area of the bigger hexagon = (3 √3) a^2 / 2
= (3 √3) 2.1491^2 / 2 = 12 in^2
Answer:
I go over 5 so I can go faster
Step-by-step explanation:
Dominics son is 45inches tall
<u>Step-by-step explanation:</u>
Let his sons height be 'h'
If Dominic is 72 inches and casts a shadow of 60 inches. His son casts a shadow of 50 inches.
Then We can say that,
h = 50 x (72/60)
h = 45 inches
Dominics son is 45inches tall
This one is also going to be b
General form for circle is
(x - a)^2 + (y - b)^2 = r^2
so if center is at (3,-2) we can plug in a and b:-
(x-3)^2 + (y+2)^2 = r^2
Now plug in x = 7 and y =1 (from the point R)
4^2 + 3^2 = r^2
r^2 = 25 making r = 5
so its diameter = 2*5 = 10
