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
Dafna11 [192]
2 years ago
13

Find the area of the circle. 12 ft

Mathematics
2 answers:
Ratling [72]2 years ago
3 0

Answer:

  • Area of the circle is 113.04 ft²

Step-by-step explanation:

Given:

  • Diameter of circle = 12 feet

To Find:

  • Area of the circle

Using formula:

\\ \:  \: \dashrightarrow \:  \:  \:{\underline{\boxed{  \bf{Area_{( circle)} = \pi r^2}}}} \\ \\

<em>Where,</em>

  • π = 3.14
  • Diameter = 12 feet
  • Radius = 12/2 = 6 feet

On substituting the required values, we get:

\\   \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =    3.14 \times  {(6)}^{2}  \\  \\  \\ \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =   3.14 \times 36 \\  \\  \\ \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =  113.04 \:  {ft}^{2}  \\  \\  \\

Hence,

  • Area of the circle is<u> </u>113.04 ft²
alexgriva [62]2 years ago
3 0

                    \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{70}{1}

           <em>Find the area of the circle (diameter = 12 ft)</em>

<em>        </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

   We're asked to find the area of the circle, which can be found using the

     following formula:-

\longmapsto\underline{\boxed{\bold{A=\pi r^2}}}

Where:-

  • A=area
  • π=pi (3.14...)
  • r=radius

Provided Information:-

  • diameter (d) = 12 ft

What to do:-

     \bigstar Notice that we have the diameter and not the radius.

       \bigstar Since the radius is exactly one-half of the diameter, we divide the

             diameter by 2 and get the radius:-

\longmapsto\sf{d=2r}

   \bigstar Rearranging the formula,

\longmapsto\large\text{$r=\displaystyle\frac{d}{2}$}

\bigstar Substituting the required value (d=12) in lieu of d:-

\longmapsto\large\text{r=$\displaystyle\frac{12}{2}$}

\bigstar Circle's Radius:-

\longmapsto\large\text{\boxed{\boxed{r=6}}}

\triangle\rule{300}{1}\triangle

Now that we have the radius, let's find the area.

Remember, we need the following formula:-

\longmapsto\underline{\boxed{\sf{A=\pi r^2}}}

\bigstar Substituting the required value (r=6) into the formula,

\longmapsto\underline{\boxed{\sf{A=\pi (6)^2}}}

\bigstar Squaring the radius,

\longmapsto\underline{\boxed{\sf{A=\pi \times36}}}

\bigstar Now, Substitute 3.14 for pi:-

\longmapsto\sf{A=3.14\times36}

\bigstar Multiplying the values,

\longmapsto\sf{A=113.04\:ft^2}

  • Henceforth, We conclude that the right option is:-

\longmapsto\Large\underline{\boxed{\text{Option\:D}}}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

You might be interested in
Find the area of the blue shaded region.
Elodia [21]

Answer:

56

Step-by-step explanation:

area of whole figure=

l×b

=20×10

=200

also,area of small fig.

=l×b

=18×8

=144

thus area of shaded part =a of whole- a of small

=200-144

=56

4 0
3 years ago
For number 6, evaluate the definite integral.
maks197457 [2]
\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{(8+2x)^2}}\cdot dx\impliedby \textit{now, let's do some substitution}\\\\&#10;-------------------------------\\\\&#10;u=8+2x\implies \cfrac{du}{dx}=2\implies \cfrac{du}{2}=dx\\\\&#10;-------------------------------\\\\

\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{u^2}}\cdot \cfrac{du}{2}\implies \cfrac{1}{2}\int\limits_{0}^{28}\ u^{-\frac{2}{3}}\cdot du\impliedby &#10;\begin{array}{llll}&#10;\textit{now let's change the bounds}\\&#10;\textit{by using } u(x)&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;u(0)=8+2(0)\implies u(0)=8&#10;\\\\\\&#10;u(28)=8+2(28)\implies u(28)=64

\bf \\\\&#10;-------------------------------\\\\&#10;\displaystyle  \cfrac{1}{2}\int\limits_{8}^{64}\ u^{-\frac{2}{3}}\cdot du\implies \cfrac{1}{2}\cdot \cfrac{u^{\frac{1}{3}}}{\frac{1}{3}}\implies \left. \cfrac{3\sqrt[3]{u}}{2} \right]_8^{64}&#10;\\\\\\&#10;\left[ \cfrac{3\sqrt[3]{(2^2)^3}}{2} \right]-\left[ \cfrac{3\sqrt[3]{2^3}}{2}  \right]\implies \cfrac{12}{2}-\cfrac{6}{2}\implies 6-3\implies 3
3 0
3 years ago
Pls help ASAP NUMBER 2
Lisa [10]

Answer:

The answer to the question is 2 and 5

5 0
3 years ago
Read 2 more answers
1 1/4mi = ft, can someone explain this to me
skelet666 [1.2K]
First off, we'll convert the mixed fraction to "improper" and check about, keeping in mind that, there are 5280 feet in 1mile.

\bf \stackrel{mixed}{1\frac{1}{4}~mi}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}~mi}\\\\&#10;-------------------------------

\bf \begin{array}{ccll}&#10;feet&miles\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;5280&1\\&#10;f&\frac{5}{4}&#10;\end{array}\implies \cfrac{5280}{f}=\cfrac{1}{\quad \frac{5}{4}\quad }\implies \cfrac{5280}{f}=\cfrac{\frac{1}{1}}{\quad \frac{5}{4}\quad }&#10;\\\\\\&#10;\cfrac{5280}{f}=\cfrac{1}{1}\cdot \cfrac{4}{5}\implies \cfrac{5280}{f}=\cfrac{4}{5}\implies \cfrac{5280\cdot 5}{4}=f\implies 6600=f
4 0
3 years ago
According to the ratio of the age, if Rs. 216 is divided to the girls of age 8, 9 ad 10 yearsHow much money will each get ​
SSSSS [86.1K]

9514 1404 393

Answer:

  • 8 years: Rs. 64
  • 9 years: Rs. 72
  • 10 years: Rs. 80

Step-by-step explanation:

The sum of ages is 8+9+10 = 27, so each year of age is rewarded by ...

  216/27 = 8 . . . Rs

Then age 8 gets 8(Rs. 8) = Rs. 64

  age 9 gets 9(Rs. 8) = Rs. 72

  age 10 gets 10(Rs. 8) = Rs. 80

3 0
3 years ago
Other questions:
  • Multiply (6 -7i)(3 - 6i)
    9·1 answer
  • terrell wants to drive his car at a speed of 50 miles per hour for 2.75 hours. his car has a fuel efficiency of 25 miles per gal
    11·2 answers
  • b. Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box.
    8·1 answer
  • Which expression represents the following situation add seven to the product of a number of ten
    9·1 answer
  • write the equation of the line that passes through the points (1,6) and (9,-8). put your answer in fully reduced slope form, unl
    11·1 answer
  • Spencer has a bank account with a balance. Of. $75.Spencer owes$30 to her credit card and she owes $50 for a LCD tv.What would s
    6·1 answer
  • Help ASAP no Rocky:))
    7·1 answer
  • A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a
    12·1 answer
  • A fish tank
    15·2 answers
  • X + 4 = 6 . Solve for x .
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!