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
abruzzese [7]
3 years ago
15

Consider an n-sided regular polygon inscribed in a circle of radius r. Join the vertices of the polygon to the center of the cir

cle, forming n congruent triangles. Determine the central angle theta in terms of n. Show that the area of each triangle is (1/2)r^2sintheta. Find the limit of the area as n approaches infinity.
Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:

a. Theta = 360/n ( angles around a point)

Step-by-step explanation:

n =Number of congruent triangles ( angles having the same angles and. Sides but not in the same direction).

This develops the assumption that each of the triangles created are equal and sides are equal.

Area of ∆ is given by 1/2 * b* h

Since all triangles are congruent b =h As they are all radius size

Area = 1/2 * (r *sin(theta)) * (r)

Area = 1/2*r^2sin(theta).

As n increases r *sin(theta) tends to 0

You might be interested in
Please HELP ! Need answer ASAP?
Debora [2.8K]
I can’t tell what’s going on
3 0
3 years ago
melabur RM3,000 dalam deposit tetap di sebuah bank pada kadar 8% faedah kompaun setiap tahun. Berapakah jumlah amaun yang akan d
sweet-ann [11.9K]

that's all.............

6 0
2 years ago
PLEASE ANSWER ASASP<br> -5y + 4 = -11<br> what is y?
lorasvet [3.4K]

Answer:

3

Step-by-step explanation:

-5y + 4 = -11   Get rid of the numbers to get y alone.

-5y +4 minus 4 = -11 minus 4    Here you are removing the 4 from the left

-5y = -15       Now you will have to get rid of the -5

-5y/(-5) = -15/(-5)    

y = 3

3 0
3 years ago
Read 2 more answers
Please help and explain how to do this
Mnenie [13.5K]

Answer:

  4√3

Step-by-step explanation:

The distance formula applies. It tells you ...

  distance = √((x2 -x1)² +(y2 -y1)²)

Filling in the given values, you have ...

  distance = √((-√32 -(-4√2))² +(2√3 -(-√12))²)

  = √((-4√2+4√2)² +(2√3 +2√3)²)

  = √(0 + (4√3)²)

  distance = 4√3

___

We make use of the fact that ...

  a\sqrt{b}=\sqrt{a^2b}\\\\\sqrt{32}=\sqrt{16\cdot 2}=4\sqrt{2}\\\\2\sqrt{3}=\sqrt{2^2\cdot 3}=\sqrt{12}

3 0
3 years ago
Which fraction is equivalent to 2/6<br><br> a.3/7<br> b.3/9<br> c.3/12<br> d.3/8
Setler79 [48]
B 3/9 cause three will go into nine three times and two will go into six three times
5 0
3 years ago
Read 2 more answers
Other questions:
  • Tracy is saving to buy a new guitar that costs $253.77 (including tax). Tracy has saved $136.27, and she can save $23.50 each we
    10·2 answers
  • There are (4^2)^3 ⋅ 40 horses at a stud farm. What is the total number of horses in the farm?
    10·1 answer
  • Measured value: 23.5 cm actual value: 25 cm. What is the percent error???
    9·1 answer
  • Is the relation a function?<br> {(10,5), (1, 8), (3, 3), (4, 2), (1, 7)}
    12·2 answers
  • Find twenty rational number between -3/7 and 2/3​
    14·1 answer
  • A scenic overlook which extends over a ravin is shaped like a kite. I’m slow help
    11·1 answer
  • What is the area of the figure below
    7·2 answers
  • Which of the following scenarios is the best fit for the graph?
    11·1 answer
  • Can someone please help mee ? Will give brainlist
    11·1 answer
  • Pls help asap, whoever answers gets brainliest, 5 stars, and a thanks!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!