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
4vir4ik [10]
3 years ago
14

Anyone know how to find the area of an equilateral triangle circumscribed about a circle, given the radius of the circle?

Mathematics
1 answer:
tia_tia [17]3 years ago
8 0
Warning: This might be rough...
First draw it out. Label the angles at the corners of the triangle 60 (definition of equilateral triangles). Now draw a line from the center of the circle to the corner, splitting the corner in half. Label this line R and a corner as 30 degrees. No to find the height of this triangle, you do rsin(30). The base of this triangle is 2rcos(30). Now find the area of this mini triangle (rsin(30)*2rcos(30)/2=r/2*rsqrt(3)/2=r^2sqrt(3)/4). Now multiply this by 3 because you have 3 mini triangles... to get...
<span>r^2 3sqrt(3)/4</span>


You might be interested in
a circular native american dwlelling has a diameter of 24 feet. how much are inside the home? use 3.14 for { } (pi)
Marizza181 [45]

Answer :

A = 452.16  \: {ft}^{2}

step-by-step explanation:

From the question,

the diameter:

d = 24 \: ft

The radius :

r =  \frac{diameter}{2}=  \frac{24}{2}=12 \: ft

\pi = 3.14

Area of a circle is given as

A = \pi {r}^{2}

By substitution,

A = 3.14( {12}^{2} )

\implies \: A = 3.14 \times 144

\implies \: A = 452.16  \: {ft}^{2}

Hence the area of the home is

A = 452.16  \: {ft}^{2}

8 0
3 years ago
Choose True Or False <br><br>Question #1. <br>(3×5)+(5×5)=8×5<br><br>Question #2.<br>(3×2)+(8×3)=8×5
lions [1.4K]
1: True

This is because <span>(3×5)+(5×5)=40, and 8x5=40
</span>

2: False

This is because <span>(3×2)+(8×3)=30, not 40.



I hope i helped :)</span>
3 0
3 years ago
Read 2 more answers
An ordinary single die is thrown. Find the probability that an even number is the outcome.
Nikolay [14]
You will have a 3:6 probability of getting an even number
7 0
3 years ago
A wave has a maximum at 2 and a midline at y equals 0.5 what is the minimum?<br>answer<br>​
frez [133]

Answer:

-1

Step-by-step explanation:

The midline is the average of the maximum and minum.

0.5 = (y + 2) / 2

1 = y + 2

y = -1

The minimum is at y=-1.

5 0
3 years ago
Gertie ran 3/4 mile during physical education class. Sarah ran 2/4 mile during the same class. How much farther did Gertie run t
Marizza181 [45]
Gertie   3/4 mile.

Sarah    2/4 mile.

Gertie ran farther by:   3/4  -  2/4  =  (3 -2)/4  = 1/4

Gertie ran farther by 1/4 mile.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Jack is a car salesman who works strictly on commission. For every car he sells, he earns a 2% commission. Cars sell for $35,000
    14·1 answer
  • a model of a railroad station has has a scale of 1 inch equals 3.5 ft the dimensions of the model railroad station are 34 inches
    10·1 answer
  • What is the solution to this equation? 6+7(b−1)=5+b A. b = 0
    12·2 answers
  • What property is shown in the equation below? 3a*9 c= 27ac?
    11·2 answers
  • Given the expression 3x^(2)y + 4xy + 1 – 5x^(4)y – 6y, do the following as instructed below: a. Write the polynomial in descendi
    8·1 answer
  • You are one mile from the railroad station, and your train is due to leave in ten minutes. You have been walking at a steady rat
    10·1 answer
  • Which are the solutions of x2 = –7x – 8?
    14·2 answers
  • The reading on a car’s speedometer may have an error up to 6.25%. The speed limit on a road is 65 miles per hour.
    11·2 answers
  • The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the
    14·1 answer
  • 12 Jana is writing a report about wages.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!