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
PilotLPTM [1.2K]
3 years ago
8

Find the area of the shaded region. round answers to the nearest tenth. assume all inscribed polygons are regular. 29.3 units2

Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0
The picture in the attached figure

we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]  

step 1
Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²

step 2
find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
 We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²

step 3
the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]  
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²

therefore

the answer is
the area of the shaded region is 44.22 units²


You might be interested in
Value<br>5. What per cent of 84 is 14?​
galben [10]
14/84 x100 =. 1/6 x 100 = 16.66%
4 0
3 years ago
3w-2+4=6<br>solving equations with like terms.​
tatyana61 [14]
Then answer should be w = 4/3 if that’s what you lookin for
6 0
2 years ago
Choose the linear inequality in standard form for this situation: The Duluth High science department can spend no more than $270
spin [16.1K]

Answer:

.

Step-by-step explanation:

8 0
3 years ago
List the sections of a business plan
Salsk061 [2.6K]

Answer:

Executive Summary. ...

Company Description. ...

Products and Services. ...

Market analysis: ...

Strategy and Implementation: ...

Organization and Management Team: ...

Financial plan and projections:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is greater than 1/2 what fractions are greater than 1/2 ​
Lelu [443]

Answer:

3/4

Step-by-step explanation:

3/4 is one example of a fraction that is greater than 1/2. If 1/2 become 2/4, therefore 3/4 is a fraction which is greater than 1/2.

5 0
2 years ago
Other questions:
  • A motorcycle manufacturer offers 3 different models, each available in 6 different colors. how many different combinations of mo
    15·1 answer
  • 4(x-2)=4x-8 is this equation always true
    8·2 answers
  • Anyone... Someone... please.... hElP mE. im getting sick of this online school stuff
    15·1 answer
  • Which is the least common denominator of the equation 2/9x+2/3=7?
    7·2 answers
  • Which statement about the following equations is correct? y=2x+5 y=−2x+5 Select one: a. The equations are dependent because the
    5·1 answer
  • Emily Dickinson's poetry was rescued for posterity by
    14·1 answer
  • When 15 is subtracted from 3 times a number the result is -32. what is the number?
    15·2 answers
  • It says Stephen has a box in the shape of a hexagonal prism where the hexagonal bases are regular a net of the box is below
    11·1 answer
  • Complete the statements about the cone,
    9·2 answers
  • What is 4.75 + 23.83 by 14
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!