A regular hexagon has a radius of 20in. What is the approximate area of the hexagon

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

Answer:

A= 1038 in²....

Step-by-step explanation:

There are several ways to find the area of a regular hexagon

In a regular hexagon, split the figure into triangles.

Find the area of one triangle.

Multiply this value by six.

We will apply the formula of area of regular polygon:

A= 1/2r²nsin(360/n)

r = radius

n = number of sides of the regular polygon

We know that,

r= 20 in

n= 6

Now substitute the values in the formula:

A= 1/2(20)²(6)sin(360/6)

A= (20)²(3)sin(360/6)

A= (20)²(3)sin(60)

A=3*(20)² *√3/2

A= 1200 * √3/2

A= 600*√3

A= 1038 in²....

Therefore the approximate area of hexagon is 1038 in²....

Nina [5.8K]3 years ago

7 0

Answer:

A= 1038 in²

Step-by-step explanation:

You might be interested in

Solve the equation a/a^2-9 +3/a-3=1/a+3

MAXImum [283]

Answer is: a= -4
STEP
1
:

1
Simplify —————
a + 3
Equation at the end of step
1
:

a 3 1
(————————+—————)-——— = 0
((a2)-9) (a-3) a+3
STEP
2
:

3
Simplify —————
a - 3
Equation at the end of step
2
:

a 3 1
(————————+———)-——— = 0
((a2)-9) a-3 a+3
STEP
3
:

a
Simplify ——————
a2 - 9
Equation at the end of step
3
:

a 3 1
(————————————————— + —————) - ————— = 0
(a + 3) • (a - 3) a - 3 a + 3

Equation at the end of step
4
:

(4a + 9) 1
————————————————— - ————— = 0
(a + 3) • (a - 3) a + 3
Pull out like factors :

3a + 12 = 3 • (a + 4)

Equation at the end of step
6
:

3 • (a + 4)
————————————————— = 0
(a + 3) • (a - 3)

3•(a+4)
——————————— • (a+3)•(a-3) = 0 • (a+3)•(a-3)
(a+3)•(a-3)

a+4 = 0

Subtract 4 from both sides of the equation :
a = -4

7 0

2 years ago

The surface area of a game cube is 384 square millimeters. how long is each edge of the cube?

ZanzabumX [31]

$a\ \rightarrow\ the\ long\ of\ each\ edge\ of\ the\ cube\\the\ surface\ area\ of\ a\ game\ cube=384\ mm^2\\\\6a^2=384\ /:6\\\\a^2=64\ \ \ \Rightarrow\ \ \ a=8\\\\Ans.\ the\ long\ of\ each\ edge\ of\ the\ cube\ is\ 8\ mm.$