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
gizmo_the_mogwai [7]
3 years ago
15

A circular garden is enlarged so that the new diameter is twice the old diameter. What is the ratio of the original area to the

enlarged area? Express your answer as a common fraction.
I do not understand WHY the answer is 1/4 I do not understand why it is k^2 and all that. HELP I am giving LOTS of points
Mathematics
2 answers:
Amanda [17]3 years ago
7 0

Answer:

  • Explained briefly below.

Step-by-step explanation:

<u>For old circular garden:</u>

take the radius as r.

then use the formula to find area of circle: πr² ......this is old garden area.

<u>For new enlarged garden:</u>

the radius is twice the old radius so, radius = 2 * r = 2r ......enlarged radius

now find area for this new garden:  π(2r)² → 4πr²

In common fractions: (old garden)/(new garden)

                                : ( πr² ) / ( 4πr² )

                                 :    1/4

bonufazy [111]3 years ago
4 0

Answer:

  • 1/4

Step-by-step explanation:

<u>Original diameter is d and new diameter is D and:</u>

  • D = 2d

<u>Area of original circle:</u>

  • A₁ = πd²/4

<u>Area of enlarged circle:</u>

  • A₂ = πD²/4 = π(2d)²/4 = πd²

<u>The ratio of areas:</u>

  • A₁ / A₂ =
  • πd²/4 ÷ πd² =
  • 1/4 ÷ 1 =
  • 1/4
You might be interested in
How many solutions does the system of nonlinear equations graphed below have ?
Paul [167]

Answer:

A. zero

Step-by-step explanation:

cuz the graphs are not intersecting anywhere. in order for their to be a solution. the graphs must intersect

3 0
3 years ago
Read 2 more answers
Find the area of a circle whose radius is 12 in. Round to the nearest tenth
irina1246 [14]
Area of a circle = pi r^2  = pi  * 12^2 =  452.4 in^2 to nearest tenth.

6 0
3 years ago
Read 2 more answers
Refer the homework helper what is the diffrence between the greatest green bean weight and the least green bean weight?
QveST [7]

Answer:

3/4 pounds

Step-by-step explanation:

Given the weights :

weight of beans 1/4 pound, 1/2 pound, 3/4. pound and 1 pound.​

Greatest weight = 1 pound

Least weight = 1/4 pound

Difference = greatest weight - Least weight

Difference = (1 - 1/4) pound

Difference in weight = 3/4 pounds

6 0
3 years ago
What is the result of adding these two equations?
timofeeve [1]

Answer:

the result of adding these two equations is

3x = 14

Step-by-step explanation:

We are given two equations

5x − y  = 6          eq. 1

−2x + y = 8        eq. 2

Add the like terms together

5x - 2x = 3x

− y + y = 0

6 + 8 = 14

So the result of adding these equations is

3x + 0 = 14

3x = 14

Bonus:

The value of x is

3x = 14

x = 14/3

6 0
3 years ago
Three moons are in the same circular orbit around a planet. The moons are each 115,000 kilometers from the surface of the planet
marshall27 [118]
275,000 km
The moons A, B, C form a right triangle with AC forming a hypotenuse with the diameter of the planet and the distance of both moons from the surface. So add A to the surface, plus the diameter of the planet, plus surface to c.
115000+45000+115000 = 275000
7 0
3 years ago
Read 2 more answers
Other questions:
  • Sara worked 24 hours last week. Joan worked for hours less than Sara, and Erin worked half as many hours as Joan. How many hours
    9·1 answer
  • The first step in solving 3.17 t - 2.431 = 5.06 is to divide both sides of the equation by 3.17. TrueFalse
    8·2 answers
  • Solve the equation sin theta = .3 to the nearest tenth. Use the restrictions 90 &lt; theta &lt;180
    10·1 answer
  • You watch a football game. The team you cheer for loses 88 yards on four plays in a row. Which expression shows the total loss i
    11·1 answer
  • Rachel is a stunt driver, and she's escaping from a building that is about to explode! DDD represents Rachel's remaining distanc
    13·1 answer
  • Andre received $60 for his birthday and put it in his piggy bank. Each week, he puts 3 more dollars in his bank. The amount of m
    10·1 answer
  • Holden and Bryson started to hike a portion of the Appalachian trail that is 12 2/5 miles long. Due to snow, they had to stop af
    14·1 answer
  • Which statement is not true about the pattern sown?
    9·2 answers
  • 1. The price of the video game was $60.00. Thelprice was reduced by 25%. What was the sale price of the video game? A $15.00 B.
    11·2 answers
  • A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!