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
OLga [1]
3 years ago
7

What is the diamater of a circle the area of a circle is 144π m^2

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

24 meters

Step-by-step explanation:

The area of a circle can be found using the following formula.

a=\pi r^2

We know that the area is 144pi m^2.

a= 144\pi m^2

Substitute 144pi m^2 in for a.

144\pi  m^2= \pi r^2

We want to find the diameter. First, we must find the radius. We have to get the variable, r,  by itself.

Divide both sides of the equation by pi.

144\pi  m^2/ \pi = \pi r^2 / \pi

144\pi  m^2/ \pi =  r^2

144 m^2= r^2

The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.

\sqrt{144 m^2} =\sqrt{r^2}

\sqrt{144 m^2} =r

12 m= r

The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.

d= r*2

The radius is 12 m.

d= 12 m*2

Multiply

d= 24 m

The diameter of the circle is 24 meters.

You might be interested in
How many pounds are l.25 kilograms????
Anon25 [30]
2.755778 lbs or round to 2.76 or 3 depending on the question
4 0
3 years ago
Read 2 more answers
Volume of sun is 1.4×10^18 and volume of earth is 1.1×10^12 how many earth can fit in the sun
Advocard [28]
\frac{1.4\cdot10^{18}}{1.1\cdot10^{12}}=
1.(27)\cdot10^6=1272727.(27)

1272727 \hbox{ Earths}

6 0
3 years ago
Help me please........
Murrr4er [49]

Answer

4

~~~~~~~~~~~~~~~~~~~~~~~

Yeah it's 4 again double check!

6 0
3 years ago
Andrew is elder to Brian by 2 years. Andrew's father Frank is twiceas old as Andrew, and Brian is twice as old as his sister Sar
babunello [35]

Let "x" represent the age of Brian.

Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"

Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"

Sarah has half the age of Brian's, we can symbolize her age as "x/2"

Frank ans Sarah's ages differ by 40 years, we can symbolize this as:

2(x+2)-\frac{x}{2}=40

Solve the term is parenthesis

\begin{gathered} 2x+4-\frac{1}{2}x=40 \\ 2x-\frac{1}{2}x+4=40 \\ \frac{3}{2}x=40-4 \\ \frac{3}{2}x=36 \\ x=24 \end{gathered}

x=24 years

Andrew's age is

x+2=24+2=26

Andrew is 26 years old

3 0
1 year ago
Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula
jasenka [17]

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

\frac{5}{5 + 2 + x} = \frac{5}{7 + x}

Both fractions are equal, so:

\frac{5}{7 + x} = \frac{1}{2}

Applying cross multiplication:

7 + x = 10

x = 10 - 7

x = 3

The value of x is 3.

5 0
3 years ago
Other questions:
  • F 9 is added to twice a number and this sum is multiplied by 4​, the result is the same as if the number is multiplied by 4 and
    13·1 answer
  • Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions: $100
    15·1 answer
  • How do you do 9 3/11 - 1 4/7
    12·1 answer
  • I need help!! 10 POINTS! NEED BY 8:30PM
    11·1 answer
  • Between 4,632 and 20,000 is what number?*
    11·1 answer
  • Divide. Write your answer as a fraction in simplest form. <br> -14/5÷ -7
    11·2 answers
  • Rewrite the conditional statement in if-then form. Today is Friday, and tomorrow is the weekend
    13·1 answer
  • At a pizza shop, you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, and onion. How many
    5·2 answers
  • Round this number to the nearest thousandth.<br> 4.9675
    15·2 answers
  • ANSWER CORRECTLY FOR 25 POINTS
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!