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
yKpoI14uk [10]
3 years ago
15

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. What is the approximate area

of the heptagon rounded to the nearest whole number? Recall that a heptagon is a polygon with 7 sides.
Mathematics
2 answers:
kobusy [5.1K]3 years ago
5 0
If you know the side length, you don't need the radius to calculate the area.  The area for any regular polygon is:

A(n,s)=(ns^2)/(4tan(180/n)), where n=number of sides and s=length of sides.

The above is derived by dividing the polygon into n triangles...anyway, in this case:

A=(7*<span>24.18^2)/(4tan(180/7)

A=</span>1023.1767/tan(180/7)

A=2124.65 cm^2 (to nearest one-hundredth)
seraphim [82]3 years ago
4 0

Answer:

2124.65\text{ cm}^2.

Step-by-step explanation:

We have been given that a regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm.      

We will use area of a heptagon formula to find the area of our given heptagon.    

\text{Area of heptagon}=\frac{7}{4}*a^2*cot(\frac{180}{7}), where, a represents each side of heptagon.

Upon substituting a=24.18 cm we will get,

\text{Area of heptagon}=\frac{7}{4}*\text{(24.18 cm)}^2*cot(\frac{180}{7})

\text{Area of heptagon}=\frac{7}{4}*584.6724\text{ cm}^2*2.0765213965692558

\text{Area of heptagon}=7*146.1681\text{ cm}^2*2.0765213965692558

\text{Area of heptagon}=2124.648310021\text{ cm}^2\approx 2124.65\text{ cm}^2

Therefore, area of our given heptagon will be approximately 2124.65\text{ cm}^2.

You might be interested in
Solve for x <br> Need help asap
vlabodo [156]

Answer:

x=55

Step-by-step explanation:

Corresponding angles of two parallel lines are always equal. The angle on "top" of 2x+6 corresponds with the angle marked as x+9. Therefore, its measure must also be x+9.

Since these two angles form one side of a line which has 180 degrees, we have the following equation:

2x+6+x+9=180

Combine like terms:

3x+15=180

Subtract 15 from both sides:

3x=165

Divide both sides by 3:

x=\frac{165}{3}=\boxed{55}

3 0
3 years ago
How do i know if a table is linear
umka21 [38]

it is non-linear, because to get 8 to 24 takes 16 but 0 to 8 only takes 8 (i'm not good at explaining)

5 0
3 years ago
At the beginning of the week the balance in your checkbook was $298.72. During the week you made a deposit of $425.69. You also
Furkat [3]

Hello!

Throughout this problem, we will add or subtract values from our original balance.

In your checkbook, there was 298.72 dollars, and then you deposited 425.69 dollars. The function you would do is addition.

$298.72 + 425.69 = $724.41

If you wrote a check, then the amount you wrote is removed from your checkbook.

$724.41 - $29.72 - $135.47- $208.28 = $350.94

Then, the bank deducted 5 dollars from your account.

$350.94 - $5.00 = $345.94

This leaves you with $345.94 at the end of the week.

Therefore, your answer is choice C, $345.94.

4 0
3 years ago
Read 2 more answers
Help me fast please<br> lskrwe
Elanso [62]

Answer: c = 1.59 * a

Step-by-step explanation:

You got the answer correct.

8 0
3 years ago
Read 2 more answers
Please help me, I don't understand this!
Montano1993 [528]

whats the question?

                                                                                                                                                                                                                                                                                                                                 

3 0
3 years ago
Read 2 more answers
Other questions:
  • Trilobites to concert tickets from her friend she pays $90 for the two tickets she looks at the tickets and see that each ticket
    15·1 answer
  • HELP pls pls pls pls
    8·1 answer
  • Complete the chart to find the mean, variance, and standard deviation. Remember to use commas and round numbers to the nearest t
    5·2 answers
  • How do you compare two-way frequencies in a relative frequency table
    5·1 answer
  • You are deciding between two cars with different engines and want the bigger of the two. one engine displaces 350 cubic inches.
    12·2 answers
  • What is the perimeter of the figure?
    12·1 answer
  • A company distributes college logo sweatshirts and sells them for $50 each. The total cost function is linear, and the total cos
    14·1 answer
  • Simplify 6(2+4x)+3(x2-5x)<br>how do i do this?
    7·1 answer
  • Chicago ave is parallel to Ontario Street. What is the relationship between angles 2 and 3?
    10·1 answer
  • Please help me with this problem!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!