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
Alika [10]
2 years ago
6

A circle is inscribed in an equilateral triangle. A point in the figure is selected at random. Find the probability that the poi

nt will be in the shaded region.
about 60%

about 50%

about 30%

about 75%

Mathematics
1 answer:
liubo4ka [24]2 years ago
8 0

Answer:

The correct answer is first option 60%

Step-by-step explanation:

The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3

<u>To find the area of equilateral triangle</u>

Here side be 'a'

Area of equilateral = √3a²/4

<u>To find the area of circle</u>

Here radius = a/2√3

Area = πr²

 = π(a/2√3)

 = 3.14a²/12

<u>To find the probability</u>

probability = area of circle/area of triangle

   = 3.14a²/12/ √3a²/4

   = 3.14/3√3

   = 0.6043 ≈ 60.43 %  60 %

The correct answer is first option 60%

 

You might be interested in
What is the area of the kite?
Ludmilka [50]

Answer:

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

5 0
1 year ago
Read 2 more answers
How are the points at each vertex of a triangle labeled?
Marat540 [252]

Answer:

t is common practise to label the vertices of a triangle with capital letters

3 0
3 years ago
How do rays AB and AC form a line and an angle
Softa [21]
Not enough detail! Your question is unanswerable!

-Apple Ware Answering Assistant
5 0
3 years ago
Read 2 more answers
If
Arte-miy333 [17]

Answer:ddddd

Step-by-step explanation:

ddddddd

8 0
2 years ago
When choosing a new class color, 90 students voted for crimson and 60 voted for royal blue. What percent of these students voted
neonofarm [45]
The percentage of students voted for colour crimson
=
\frac{90}{60 + 90} \times 100\%  \\  =  \frac{90}{150}  \times 100\%\\  =  \frac{9}{15} \times 100\% \\  = 60\%
hope it helps!
6 0
2 years ago
Other questions:
  • Whats the answer for w^5+4w^4+10w^3+40w^2
    9·2 answers
  • Give a geometric interpretation of the triangle inequality
    8·1 answer
  • How do you reduce fractions?
    15·1 answer
  • A pail holds 3 1/2 gallons of water. How much is this in cups?(In fraction)
    9·2 answers
  • What is the standard deviation of this data?
    9·1 answer
  • I need help with this one
    12·1 answer
  • Ten times the sum of half a number and 6 is 8
    8·1 answer
  • Please help its due in a hour
    8·1 answer
  • All of the following are useful in scientific investigations EXCEPT:
    12·1 answer
  • Express each as ratio in the simplest form.:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!