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
marishachu [46]
2 years ago
7

The circumference of Circle K is pi. The circumference of Circle L is 4xpi.

Mathematics
1 answer:
dmitriy555 [2]2 years ago
5 0

Answer:

Ratio of circumferences: \displaystyle\frac{1}{4}

Ratio of radii: \displaystyle\frac{1}{4}

Ratio of areas: \displaystyle\frac{1}{16}

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is \pi

- The circumference of Circle L is 4\pi

Therefore, the ratio of their circumferences would be:

\displaystyle\frac{\pi}{4\pi} ⇒ \displaystyle\frac{1}{4} when simplified

The formula for circumference is C=2\pi r, where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is \pi, or 1\pi, then its radius is \displaystyle\frac{1}{2}.

If the circumference of Circle L is 4\pi, then its radius is \displaystyle\frac{4}{2}, which is 2.

Therefore the ratio their radii would be:

\displaystyle\frac{\frac{1}{2}}{{2}} ⇒ \displaystyle\frac{1}{2}*\frac{1}{2} ⇒ \displaystyle\frac{1}{4} when simplified

The formula for area is:

A=\pi r^2

First, let's find the area of Circle K:

A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi

Now, let's find the area of Circle L:

A=\pi (2)^2\\A = 4\pi

Therefore, the ratio of their areas would be:

\displaystyle\frac{\frac{1}{4}\pi}{4\pi} ⇒ \displaystyle\frac{\frac{1}{4}}{4} ⇒ \displaystyle\frac{1}{4} * \frac{1}{4} ⇒ \displaystyle\frac{1}{16} when simplified

I hope this helps!

You might be interested in
Of the town's 42 firefighters, 16 volunteered for the special rescue team. Express the portion who did not volunteer.
Doss [256]
42 firefighters in total.

16 volunteered for the special rescue team.

n + 16 = 42

or it could be this way:

42 - 16 = n
8 0
3 years ago
12 pts? Harris and Annabelle are 200 feet apart, and they are standing on opposite sides of a tree. The angles of elevation from
Sergio [31]
If we are to connect the root of the tree to a person to the top of the tree, we form two right triangles. If we let x and and 200 - x be the distance of Harris and Annabelle from the tree, respectively and h be the height, we form the trigonometric functions,
                                       tan 30° = h/x
                                       tan 35° = h/(200 - x)
The values of h and x in the equations are 63.28 ft and 109.62 ft, respectively. Thus, the answer to this item is approximately 63.28 ft. 
5 0
3 years ago
The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in doll
3241004551 [841]
The independent is 25 and the dependent is .6.
5 0
3 years ago
Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12,
xz_007 [3.2K]

The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.

<h3>How to determine the range of a function?</h3>

Given: 12x + 6y = 24

Here x stands for the input and y stands for the output

Replacing y with f(x)

12x + 6f(x) = 24

6f(x) = 24 - 12x

f(x) = (24 - 12x)/6

Domain = {-4, 0, 5}

Put the elements of the domain, one by one, to estimate the range

f(-4) = (24 - 12((-4))/6

= (72)/6 = 12

f(0) = (24 - 12(0)/6

= (24)/6 = 4

f(5) = (24 - 12(5)/6

= (-36)/6 = -6

The range exists {12, 4, -6}

Therefore, the correct answer is option c. {12, 4, -6}.

To learn more about Range, Domain and functions refer to:

brainly.com/question/1942755

#SPJ4

7 0
2 years ago
Please help <br> Solve: 2x2-x = 21
maksim [4K]
The answer is x= -17
hope this helps
5 0
3 years ago
Other questions:
  • What is the LCD of 25,50, and 75 ?
    15·1 answer
  • Triangle ABC is shown below with line DE passing through points D and E:
    13·1 answer
  • What is the most precise name for a quadrilateral with the following vertices:
    7·1 answer
  • Which of these cannot represent the lengths of the sides of a right triangle?
    10·2 answers
  • Write an equation in point-slope form of the line having the given slope that contains the given point.
    15·1 answer
  • Joe needs to put 3 1/2 gallons of chicken soup in quart containers .
    14·2 answers
  • I need the answer to part B
    12·1 answer
  • Question 15(Multiple Choice Worth 1 points)
    15·1 answer
  • A blank is a number that cannot change its value
    6·2 answers
  • Kayleigh won 50 candy bars playing video games at her school's game night. Later, she gave two to each of her friends. She only
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!