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
Anon25 [30]
2 years ago
10

I don’t know how to use the triangle area to calculate the area of the inscribed polygons

Mathematics
1 answer:
Trava [24]2 years ago
3 0

First of all, let's recall the area of a triangle, knowing its base (b) and height (h):

A = \cfrac{bh}{2}

The exercise is showing you that, if you inscribe a polynomial with more and more side, the area of the polynomial will approximate the area of the circle better and better (you can see youself that the polygon is "filling" the circle more and more as the number of sides increase).

Now, the second column tells you the area of each of the triangles the polygon is split into. So, we can see that the first polygon is split into 3 triangles, each of them having base 1.73 and height 0.5.

So, the area of each triangle is

A = \cfrac{1.73 \cdot 0.5}{2} = 0.4325

There are three of these triangles, so the area of the whole polygon is

A = 0.4325 \cdot 3 = 1.2975

In the second case, you have six triangles, each with base 1 and height 0.87. So, the whole area is

A = 6 \cdot \cfrac{1\cdot 0.87}{2} = 0.87 \cdot 3 = 2.61

Finally, in the last case you have 8 triangles, each with base 0.77 and height 0.92. So, the whole area is

A = 8 \cdot \cfrac{0.77\cdot 0.92}{2} = 0.77\cdot 0.92 \cdot 4 = 2.8336

You might be interested in
A parking garage charges $5 for the first hour of parking and $1.75 for each additional hour.If y represents the total cost and
jonny [76]
5 no mater what on first hour so, then on the second hour the 1.75 rate kicks in so  therefor when x=1, then y=5 so y=5+0 times 1.75
so y=5+1.75 times (x-1)
the naswe ris
y=1.75(x-1)+5 or d
7 0
3 years ago
Read 2 more answers
Aaron has two apple's. He adds two more apples. How much apple's does Aaron has now
lorasvet [3.4K]
Aaron has 4 apples. 2+2=4
4 0
2 years ago
Read 2 more answers
How many inches are in a marathon (26.2 miles)?
storchak [24]

Answer:

1660032

Step-by-step explanation:

Google is my best friend

7 0
2 years ago
Describe two real-world situations : one that has a linear association and one that has nonlinear association. Be sure to explai
strojnjashka [21]
Linear you are going up a hill at a 30 degrees angle at a constant speed of 40 miles per hour

Nonlinear when ever you bake cookies you cant touch them right away or you burn your hand but they decrease in temperature fast then level out
6 0
3 years ago
Seating reads 1/12 part of a book in a day. If there are 360 pages in a book, how many pages does swati read in a day?
makvit [3.9K]

Given:

Total number of pages in a book = 360 pages

Fraction of pages Swati reads = \frac{1}{12}

To find:

Number of pages Swati reads in a day

Steps:

Since we know the fraction of pages Swati reads each day, we can multiply the fraction with the total pages to find the number of pages read each day.

=360 * \frac{1}{12}

= \frac{360 * 1}{12}

=\frac{360}{12}

=\frac{180}{6}

=\frac{90}{3}

=\frac{30}{1}

= 30

Therefore, Swati reads 30 pages of the 360 pages per day.

HAPPY TO HELP :)

If you need any help, feel free to ask

4 0
2 years ago
Other questions:
  • Extended Ratios - Complete one of the two prob
    12·1 answer
  • What is the fraction of 4.8
    12·2 answers
  • Matthew and Ava have some money in the ratio of 5:2
    11·1 answer
  • I WILL MAKE BRAINLIEST PLEASE HELP!!!!!!
    14·1 answer
  • Divide 30 cm into ther ratio 2:4
    5·2 answers
  • A picnic basket is shaped like a rectangular prism. The height of the basket is 8 inches. The bottom of the basket has an area o
    6·1 answer
  • Help me with this somebody.
    12·1 answer
  • Brielle and her family went to our diner. They got ice cream cone, a brownie, and a cookie. How much did they spend on dessert?
    7·1 answer
  • The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
    13·1 answer
  • A rock is released from rest and freely falls 70 m to the ground. What is its velocity just before impact? A. 1.2 m/s B. 7.0 m/s
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!