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
Vlad1618 [11]
3 years ago
15

A regular hexagon is inscribed (vertices lie on the circles) in a circle.

Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0
Radius of the circle: r
Area of the circle: A1=pi r^2
A1=3.141592654 r^2

Area of the regular hexagon: A2=(6)(1/2)(r)(r) sin 60°
A2=(6/2) r^2 sqrt(3)/2
A2=3 sqrt(3) r^2 /2
A2=3(1.732050808) r^2/2
A2=2.598076212 r^2

<span>a. What percent of the area of the circle is overlapped by the area of the inscribed regular hexagon?

Percentage: P=(A2/A1)*100%
P=[2.598076212 r^2 / (3.141592654 r^2)]*100%
P=(0.826993343)*100%
P=82.6993343%
P=82.7%

Answer: 82.7 </span><span>percent of the area of the circle is overlapped by the area of the inscribed regular hexagon.

</span><span>b. if the radius of the circle is tripled and a regular hexagon is inscribed in the new circle, what percent of the area of the circle is overlapped by the area of the inscribed regular hexagon?

The same percentage.

Answer: 82.7 </span><span>percent of the area of the circle is overlapped by the area of the inscribed regular hexagon.</span>
You might be interested in
What is the graph of the linear inequality y≤−3x+4?
tatiyna

Answer:

It would look like the picture I attached at the bottom.

Step-by-step explanation:

We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.

It gets a little tricky because the question then adds the inequality, and we see that y is now less than <em>or equal to </em>the original equation.

Since it is less than, we can shade all the values below the graph.

(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).

Desmos is a great website to use if you're having trouble graphing in the future :)

5 0
3 years ago
What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:35? A. 72.5° B. 9
Kruka [31]
A) Minute Hand:
in 1 hour (= 60 minute) the minute hand travels 360 °
So in each minute, the minute hand travels 360/60 = 6°
And in x minute it will travel x.(6°)

B) Hour Hand:
in 1 hour (= 60 minute) the hour hand travels 360/12 = 30°
So in each minute, the hour hand will travel 30°/60° = 0.5°
And in x minute it will travel x.(0.5°)

ANGLE AT 4:35?

At 4:00, angle = 4. 30 = 120°
After 35 minutes, the minute hand strops at 35.(6°) = 210°, but during this 35 minute, the hour hand traveled 35.(0.5) = 17.5°, on top of its 120°, that makes an angle of 137.5°

So at 4:35 the angle between the hour & minute hand = 210°-137.5° =72.5°

Answer A


8 0
3 years ago
Jerry paid $54.40 for 4 Circus tickets. Each ticket cost the same amount. What was the cost of each Circus ticket in dollars and
AnnyKZ [126]

Answer : 13.6

Each ticket

4 0
2 years ago
Read 2 more answers
Write a sentence to answer each question:<br><br> How much warmer is 82 than 40?
Lostsunrise [7]

Answer:

82 is 42 degrees warmer than 40

Step-by-step explanation:

if you subtract 40 from 82, you get 42 meaning that the answer will be 42 degrees more than 40

8 0
2 years ago
The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for
Y_Kistochka [10]

Answer:

g(x) = (x + 6)^2 - 5

Step-by-step explanation:

To translate f(x) to the left by 6 units, replace x with x+6.

To translate f(x) down 5 units, replace f(x) with f(x)-5.

Together, these replacements give you ...

... g(x) = f(x+6) -5

... g(x) = (x +6)^2 -5

6 0
3 years ago
Other questions:
  • What's the sum of 25 and its opposite?
    11·1 answer
  • Jay and Ted observed two points, P and Q, on a number line.
    13·1 answer
  • Louise calculated the height of a cylinder that has a volume of 486 x cubic centimeters and a radius of 9 centimeters. Her work
    12·2 answers
  • The sum of 1-3/4 6-3/8 and 1-23/32
    10·1 answer
  • A chicken soup recipe calls for cups of chicken stock. How much is this in quarts?
    11·1 answer
  • Who knows what 66 mins and 92 seconds are asap answer
    15·2 answers
  • Take ´em of leave ´em....<br> What is 2+2?
    9·2 answers
  • Find the angle between the diagonal of a cube of side length 15 and the diagonal of one of its faces, so that the two diagonals
    11·1 answer
  • I need help with trig
    13·1 answer
  • Solve for x in the equation x squared + 14 x + 17 = negative 96.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!