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
yanalaym [24]
2 years ago
10

Help? im confused plss! Find the area of the regular polygon with the given radius or apothem

Mathematics
1 answer:
Snezhnost [94]2 years ago
8 0

Answer:

  50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

  A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

  A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

__

<em>Alternate solution</em>

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

  A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

  A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

  A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

<em>Additional comment</em>

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

  r = a·sec(180°/n)

Another formula uses the apothem directly:

  A = n·a²·tan(180°/n)

You might be interested in
Find the area of each shape by decomposing each shape into rectangle and/or triangle.
avanturin [10]

Remark

You don't have to decompose the second one, and it is better if you don't. Just find the area as you probably did: use the formula for a trapezoid. You have to assume that the 6cm line hits the 2 bases at right angles for each of them, otherwise, you don't know the height. So I'm going to assume that we are in agreement about the second one.

Problem One

The answer for this one has to be broken down and unfortunately, you answer is not right for the total area, although you might get 52 for the triangle. Let's check that out.

<em><u>Triangle</u></em>

Area = 1/2 * b * h

base = 16 cm

h = 10 - 4 = 6

Area = 1/2 * 16 * 6

Area = 48

<em><u>Area of the Rectangle</u></em>

Area = L * W

L = 16

W = 4

Area = L * W

Area = 16 * 4

Area = 64

<em><u>Total Area</u></em>

Area = 64 + 48

Area = 112  of both figures <<<< Answer

3 0
3 years ago
Question 1
erastova [34]

Based on the above scenario, the sales director conducted  an <u>experiment</u>.

  • Because a treatment  <u>was </u>applied to the sales representatives.

  • The the best statistical study for this situation because the sales director is trying to establish <u>correlation</u>.

<h3>What is an experiment?</h3>

An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.

In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.

See full question

Part A.

The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.

This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.

Learn more about experiment from

brainly.com/question/17274244

5 0
2 years ago
What is the square root of four
xz_007 [3.2K]

Answer:

It is +2 or since (+2)*(+2 ) gives. If you think that it would be (-2) also then you are wrong because root of a positive rational number is always positive number.

Step-by-step explanation:

Let the square root of four be ‘k’.

Then we have

(4)^1/2=k

(Squaring both sides)

4=(k)^2

=>(k)^2–4=0

=>(k)^2-(2)^2=0

=>[k+2][k-2]=0 {since (a)^2-(b)^2=(a+b)(a-b)}

if product of two numbers is 0 then either of one must be zero.

If k+2=0 then k=-2

If k-2=0 then k=2

From here we got two answers but -2 should be omitted because when we square an equation we add “root extra”which means that when we square an equation one root is added.

3 0
3 years ago
17x&gt;−17.................
blondinia [14]
What? I’m confused what your asking.
5 0
3 years ago
Read 2 more answers
Solve for x: 2|x − 3| + 1 = 7 (5 points) x = 0, x = 6 x = −1, x = 6 x = 0, x = 9 No solutions
Dominik [7]
2|x-3|+1=7
2|x-3|=6
|x-3|=3

x-3 = 3 or x-3 = -3
x=0 or 6
8 0
3 years ago
Read 2 more answers
Other questions:
  • I need help solving.... <br> 9x-2x+3=3x+4x+3
    8·1 answer
  • What is the area of parallelogram RSTU?
    8·2 answers
  • IF ANYONE KNOWS ALREADY PLS ANSWER AND DONT WASTE ANSWERS
    5·2 answers
  • (5 , 1 ) , ( − 2 , b ) = √ 85 find the value of b
    10·2 answers
  • 6. Jack is x years old
    11·1 answer
  • Please help me with this question
    8·2 answers
  • The sum of two consecutive, odd whole numbers is 205. What are the two numbers?
    10·2 answers
  • What is the slant height for the given pyramid to the nearest whole unit height
    9·1 answer
  • Solve the equation.<br><br><br> 5/6 R = 1/6
    11·1 answer
  • -1/2(-2x+4y) expand to write an equivalent expression and show work
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!