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
lubasha [3.4K]
3 years ago
10

A regular hexagon inscribed in a circle is approximately 0.827 times the area of that same circle. What percentage of the circle

is
a. occupied by the hexagon

b. not occupied by the hexagon
Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0

a. The percentage of the circle occupied by the hexagon is 82.7%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Step-by-step explanation:

a regular hexagon inscribed in a circle is approximately 0.827 times the

area of that same circle

1. Assume that area the circle is x

2. Find the ratio of area hexagon to area circle

3. Change The ratio to percentage

4. Subtract area hexagon from area circle to find the area not occupied

    by the hexagon and do the same steps 2 and 3 with the area not

    occupied and the circle

∵ The regular hexagon inscribed in a circle

∴ Area the circle  > area of the hexagon

∵ Area the circle is x

∵ Area the hexagon is 0.827 times the area of the circle

∴ Area hexagon = 0.827(x)

∵ The ratio between area hexagon and area circle = \frac{0.827x}{x}

- Cancel x up with x down

∴ The ratio between area hexagon and area circle = 0.872

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area hexagon to area circle = 0.827 × 100%

∴ The percentage of area hexagon to area circle = 82.7%

a. The percentage of the circle occupied by the hexagon is 82.7%

∵ Area the circle is x

∵ Area the hexagon is 0.827 x

∴ The area not occupied by the hexagon = x - 0.827 x

∴ The area not occupied by the hexagon = 0.173 x

The ratio between area not occupied by the hexagon and area circle

= \frac{0.173x}{x}

- Cancel x up with x down

∴ The ratio between area not occupied by the hexagon and area

   circle = 0.173

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area not occupied by the hexagon to area

   circle = 0.173 × 100%

∴ The percentage of area not occupied by the hexagon to area

   circle = 17.3%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

You might be interested in
ASAP ASAP ASAP SHOW WORK TOO !!!!!!!!!!!!!!! thanks soo much
k0ka [10]
A.
(64x<span>² + 96x + 36) / (16x + 12)
= 4(16x</span><span>² + 24x + 9) / 4(4x + 3)
= 4*(4x + 3)(4x + 3) / 4(4x + 3)
= 4x + 3

b.
1.79 x 10^5 = 1.79 * 100,000 = 179,000

c.
(5.9736 x 10^24) + (4.8685 x 10^24)
= (5.9736 + 4.8685) x 10^24
= 10.8421 x 10^24
= 1.08421 x 10^25</span>
4 0
3 years ago
Please help me figure out the answers !
OverLord2011 [107]

Answer:

Step-by-step explanation:

44,89,989,54,211,26,2,78,54,51

6 0
2 years ago
Awnser pls i will give brainly
gizmo_the_mogwai [7]

Answer:

-3 for x, y for -18,  

f  axis to y axis

C

Step-by-step explanation:

5 0
2 years ago
19.<br>How long is the pencil shown below?<br>3.5<br>1 2<br>3<br>4<br>5 cm​
arlik [135]
Answer:

5cm

- The pencil is 5cm long.
6 0
3 years ago
X + y=-3 can sombody plz help me with this question
Nookie1986 [14]

Answer:

x=−y−3

Step-by-step explanation:

x+y=−3

Step 1: Add -y to both sides.

x+y+−y=−3+−y

x=−y−3

5 0
2 years ago
Other questions:
  • Lilian has 42 feet of yarn. She wants to cut the yarn into 8 equal parts. How long will each part be?
    12·2 answers
  • Taking Test need Help!
    9·2 answers
  • Can someone please help me with this question???
    9·1 answer
  • You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your offi
    8·1 answer
  • Find two consecutive integers whose sum is eleven less than three times the smaller integer.
    5·1 answer
  • if 192 students voted and a quarter of them voted for turkey burgers how many voted for turkey burgers​
    10·1 answer
  • [tex]40-23\frac{6}{7}
    13·2 answers
  • Help me plz plz help plz!!!!
    11·1 answer
  • Show work for brainliest.
    12·1 answer
  • Why is the ruler placement postulate important?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!