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
Aliun [14]
3 years ago
11

The circumference of a circle is 16π inches. Show how you can use this information to calculate the same circle’s area.

Mathematics
2 answers:
Minchanka [31]3 years ago
8 0
The equation used to find the area of a circle is \pi×radius²=A

The equation used to find the circumference of a circle is \pi×diameter=circumfrence 

1) You will need your diameter and radius in order to find the area of the circle. In this case, working backward will help.

2) Set your circumference equation equal to 16\pi and solve for diameter by dividing by \pi on the left and right sides. 

3) From this, you will find that your diameter equals 16in.


4) Half of a circles diameter is the radius so divide 16in (diameter) by 2 to find the radius. This will come out to be 8in.

5) Now that you know the radius, you can plug in the radius to the area of a circle equation to find the area of the circle: \pi×(8)²

6) \pi×(8)²= 201.06in²=A

-E :)
sammy [17]3 years ago
6 0
Hello!

In this situation, we know that the circumference is 16π. The formula for circumference is C=D<span>π. This tells us that our diameter equals 16 inches.

To find the area, we multiply the radius squared by pi (we will use 3.14.) The radius is half of the diameter, and as we know that it is 16, our radius would be eight. Eight squared is 64. If we multiply 64 by pi, we get 200.96 inches as our area.

I hope this helps!</span>
You might be interested in
Delaney bought a crate for her puppy when it was 3 months old. The crate is in the shape of a rectangular prism. Since the puppy
Alika [10]

Answer:

The volume of the new crate is exactly 174.4% of the old crate.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism of dimensions x, y and z is given by:

V = xyz

She decided that the dimensions of the new crate needs to be increased by 40% of the original length.

Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So

V = 1.4x(1.4y)(1.4z) = (1.4)^3(xyz) = 2.744(xyz)

Percentage:

The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.

The volume of the new crate is exactly 174.4% of the old crate.

7 0
2 years ago
How can you tell if a point is a solution to a system of equations?
Anna35 [415]

Answer: you have to substitute them into the equation

Step-by-step explanation:

example: x = 2y - 6

lets say you test 4/5 so it would be 4 = 2(5) - 6

this equals 4 = 10 - 6 which is true

so that is how you test to see if the equation is right

remember the first number goes to "x" and the second one goes to y

hope this helps mark me brainliest if you can

3 0
3 years ago
Is a rhombus a rectangle
11111nata11111 [884]

Answer:Every square is a rhombus, and a rhombus can be a square, if all its angles are 90 degrees. Thus, a rhombus can be a rectangle (if the angles of the rhombus are all 90 degrees), and a rectangle can be a rhombus (if the sides of the rectangle are all equal length).

Step-by-step explanation:

5 0
2 years ago
Solve the equation by completing the square. Round to the nearest hundreth if necessary. x^2-x-7=0
gregori [183]
X^2 - x  = 7
(x - 0.5)^2 - 0.25 = 7
(x - 0.5)^2 = 7.25
(x - 0.5)  = +/- sqrt 7.25
x  =  0.5 +/- sqrt7.25 

solution set is {-2.19, 3.19,}
8 0
3 years ago
Someone help with this
timama [110]

Answer:

18% decrease

Step-by-step explanation:

  1. 7,500 - 6,125 = $1,375
  2. Set up a proportion: \frac{1375}{7500} = \frac{x}{100}  
  3. Cross multiply, then divide: 1375 × 100 = 137500, 137500 ÷ 7500 = 18 1/3
  4. 18 1/3% rounded = 18%
  5. It went down, so it is a decrease

I hope this helps!

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the distance between each pair of points. round your answer to the nearest tenth, if necessary. (-8, -5), (-4, 3)
    12·1 answer
  • Which symbol correctly compared these two fractions
    10·1 answer
  • Please help with this!!!!
    10·1 answer
  • Write 0.16 as a percentage
    13·2 answers
  • The question is in the image below.
    7·1 answer
  • How much was the initial length of the baby at birth
    9·1 answer
  • Exponential function f is represented by the table. x 0 1 2 3 4 f(x) 868 292 148 112 103 Function g is an exponential function p
    15·2 answers
  • What is 10 x 5 + 50 I need an lot of help im mest up in the brain.
    10·2 answers
  • 5 múltiplos de 7 mayores que 140​
    6·1 answer
  • Help me plz AND PLZ NO LINKS
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!