1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mrs_skeptik [129]
3 years ago
10

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
What the word form 485,830
Anastasy [175]

the word form of 485,830 is Four hundred eighty-five thousand eighty hundred thirty
7 0
4 years ago
Read 2 more answers
Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible ratio table
Phantasy [73]

A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented the following equation:

y = kx

<u>Where:</u>

  • y and x are the variables.
  • k represents the constant of proportionality.

Since the recipe ingredients remain in a constant ratio, we have:

k = y/x

For table 1, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 4/3.

For table 2, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 8/3.

For table 3, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 5/3.

For table 4, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 6/3 = 2.

In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

3 0
1 year ago
What is the radius of 12 millimeters
sdas [7]

Answer:

The circumference is 37.7 mm Hope this helped! Have a great day!! :)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Is 3/8 greater that 1/2
belka [17]

Answer:

no

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The floor of a rectangular living room is 21 feet by 28 feet. What is the distance between
swat32

Answer:

35 feet.

Step-by-step explanation:

To find this, we will need to use the Pythagorean theorem to solve for the diagonal length. Call this diagonal length 'd'.

d² = 21² + 28²

d² = 1225

d² = 35.

Thus, the diagonal length is 35 feet.

3 0
3 years ago
Other questions:
  • Answer please thanks
    15·1 answer
  • The sum of three consecutive whole numbers is 18. What is the greatest of the numbers?
    7·1 answer
  • <img src="https://tex.z-dn.net/?f=100%5E%7Bm%7D" id="TexFormula1" title="100^{m}" alt="100^{m}" align="absmiddle" class="latex-f
    15·1 answer
  • Identify the following series as arithmetic, geometric, both, or neither.
    12·2 answers
  • 66 2/3 % as a fraction HELP
    6·2 answers
  • What is the solution to the inequality x2 &lt; 16 – 6x?
    10·1 answer
  • On the number line, which of the following numbers below can be found on the right of 2.26??
    7·1 answer
  • What is 100 over 100​
    9·2 answers
  • If f(x) = 1/9x-2, what is f^-1(x)?
    5·1 answer
  • What is the area of this quadrilateral?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!