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
STatiana [176]
3 years ago
5

PLEASE HELP!! URGENT

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

1. The problem statement tells you to find "the area of the hexagonal face".

2. If we assume the intent is to find the shaded area of the face only, it differs from the area of a regular hexagon in that there is a hole in the middle.

3. You must find the area of the regular hexagon, and subtract the area of the circular hole in the middle.

4. The formula for the area of a circle in terms of its radius is

... A = πr²

5. The formula for the area of a regular hexagon in terms of the radius of the circumcircle is

... A = (3√3)/2·r²

6. The radius of the circumcircle of the regular hexagon is given. No additional information is needed.

7. You can use the trig functions of the angles of an equilateral triangle to find the apothem, but there is no need for that when you use the formula of 5.

8. All this is unnecessary. The apothem is (8 mm)·(√3)/2 = 4√3 mm ≈ 6.9282 mm, the shorter leg is (8 mm)·(1/2) = 4 mm. The perimeter is 6·8 mm = 48 mm.

9. The area of the hexagon is

... A = 3√3/2·(8 mm)² = 96√3 mm² ≈ 166.277 mm²

10. The area of the circle is

... A = π·(4 mm)² = 16π mm² ≈ 50.265 mm²

11. The area of the hexagonal face is approximately ...

... 166.277 mm² - 50.265 mm² = 116.01 mm²

You might be interested in
FR.EE POI.NTS!!!!!!!! I HOPE U HAVE/HAD A NICE DAY OR NIGHT
lara31 [8.8K]

Answer:

Step-by-step explanation:

Thank you

8 0
3 years ago
Can someone help me pleaseeee !!
Arturiano [62]

Answer:

5g/cm³

Step-by-step explanation:

3 0
3 years ago
Order the decimal greatest to least 8.31,8.295, 8.06,8.3
Mama L [17]

Answer:

Least 8.06, 8.295, 8.3, 8.31 Greatest

5 0
2 years ago
Read 2 more answers
Divide. −1/9÷3/4 <br> −4/27 <br> −1/12 <br> 1/12 <br> 4/27<br> PLZZZZ HELP FAST!
ivanzaharov [21]

\frac{ - 1}{9}  \div  \frac{3}{4}  \\  \\  \frac{ - 1}{9}  \times  \frac{4}{3}  \\  \\  \frac{( - 1) \times 4}{9 \times 3}  \\  \\  \frac{ - 4}{27}

7 0
3 years ago
Write the standard equation of the circle with the given center and passes through the given point. Center (7,-2); Point= (1,-6)
vodomira [7]

Answer:

(x - 7)² + (y + 2)² = (2√13)²

Step-by-step explanation:

We already know that the center is at (7, -2), but must find the radius.  The radius is the distance between the points (7, -2) and (1, -6):

r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.

Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²

6 0
3 years ago
Other questions:
  • Give the equation of the exponential function whose graph is shown <br> 40 POINTS!!!!!!!!!!
    6·2 answers
  • Expanded form for 208,000,478​
    5·2 answers
  • What is the first step to 15-(-2)
    13·2 answers
  • The binary string 01000110001000 is a floating-point number expressed using the 14-bit simple model given in your text. (There a
    6·1 answer
  • A number (A) is 50% larger than (C). Another number (B) is 25% larger than (C) How many percent bigger is (A) than (B)?
    5·1 answer
  • 8(4u-1)-12u=11(2u-6)
    11·1 answer
  • PLS! ANSWER ASAP!!! 45 POINTS!
    6·1 answer
  • How many times larger is venus than mars ?
    14·1 answer
  • The area of the floor of a cubical room is 49m .find the area of 4 walls of a room.​
    8·2 answers
  • A statue of zeus in greece is made of gold and ivory. the ivory was found to have lost 25% of its carbon-14. using the formula f
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!