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
Westkost [7]
1 year ago
15

Here is a diagram of a black circle inside a white square and a diagram of a small grey square inside a white square.

Mathematics
1 answer:
nika2105 [10]1 year ago
6 0

The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

<h3>How to determine the ratio of the areas?</h3>

The side length AB is given as:

AB = 8x

The area of the white square is calculated as

White = (AB)²

This gives

White = (8x)²

Evaluate

White = 64x²

The side length AB represents the diameter of the black circle.

So, the radius is:

r =AB/2

This gives

r = 8x/2 = 4x

The area is then calculated as:

Circle = πr²

This gives

Circle = π(4x)²

Evaluate

Circle = 16πx²

Next, calculate AW and AZ using:

AZ = AW = AB/2

Evaluate

AZ = AW = 8x/2 = 4x

Calculate WZ using the following Pythagoras theorem

WZ² = AW² + AZ²

This gives

WZ² = (4x)² + (4x)²

Evaluate

WZ² = 2(4x)²

Take the square root of both sides

WZ = 4x√2

The area of the gray square is:

Gray = WZ²

This gives

Gray = 2(4x)²

Evaluate

Gray = 32x²

At this point, the areas are:

  • White = 64x²
  • Circle = 16πx²
  • Gray = 32x²

The ratio is then represented as:

Ratio = Circle : White : Gray

This gives

Ratio = 16πx² : 64x² : 32x²

Divide through by 16x²

Ratio = π : 4 : 2

Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

Read more about areas at:

brainly.com/question/24487155

#SPJ1

You might be interested in
Frieda and Joanne are laying a 17 meter track for model trains. They completed one stretch that is 7.44 meters long and another
Dvinal [7]
D is the correct answer. Hopes that helps.
3 0
3 years ago
Please please help I’m begging you to help
Ilia_Sergeevich [38]

Answer:

for every 1 vote cast on candidate d there is 4 votes cast on candidate c.

Step-by-step explanation:

44 divided by 11 is 4

7 0
3 years ago
Read 2 more answers
What is 3123532488697 x 5676576876896786
horrorfan [7]
The answer to ur question is 1.77309723E28.
Hope this helps and can i get brainliest answer.
4 0
3 years ago
Read 2 more answers
What is the Identity Property of Multiplication?
Scilla [17]

Answer:

The identity property of multiplication, also called the multiplication property of one says that a number does not change when that number is multiplied by 1. Ex. 12x1=12

7 0
2 years ago
Read 2 more answers
Explain and show your work, please.
ArbitrLikvidat [17]
It is given that aiden has purchased a 2 lb package, a 3 lb package, and a 4 lb package
The first step is to add these packages together
2+3+4 is 9
each turkey burger needs 1/3 lb of turkey, which also means that every pound of turkey aiden has can make 3 turkey burgers

Aiden has 9 pounds of turkey, so he can make 27 turkey burgers (3*9)

Hope this helped! If you still need help I can answer in comments
5 0
3 years ago
Other questions:
  • Evaluate ab for a = -2 3/4 and b= - 4/6
    9·1 answer
  • Find the slope of the following ponit (5,1) and (7,-3)
    6·2 answers
  • Find the inverse of p(x)=-2x^2-10
    9·1 answer
  • If f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)
    7·1 answer
  • Jay and blair went fishing. Together, they caught 27 fish. Jay caught 2 times as many fish as blair. How many fish did Jay and B
    8·1 answer
  • Please! asap! someone help me.
    10·2 answers
  • What is the standard form of y=2/5x-6
    10·1 answer
  • Cynthia wants to buy a round magnetic photo frame for her locker. The radius of the frame is 9cm. What is the circumference of t
    12·2 answers
  • A cylinder has a diameter of 14 cm and a volume of 112 pi.
    9·1 answer
  • Locate root 9.8 on number line
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!