The circumference of a circle is 147 feet.
Find the area of the circle, in terms of pi.

Answers

Answer 1

Answer:

Step-by-step explanation:

C = 147 ft.  The relevant formula is C = 2(pi)r, and here C = 147 ft = 2(pi)r.

The relevant area formula is A = (pi)r^2.  If we solve the above formula for r we get

         147 ft

  r = ------------    and so  r^2 (needed to calculate the area) is

           2pi

          147^2 ft^2

r^2 = ------------------

                4(pi)

                                      147^2 ft^2

and so the area is  A = ---------------- = 7203/pi

                                           3 pi

                                                                    C                           C^2

Alternative method:  C = 2pi*r so r = -------------- and r^2 = -------------

                                                                 2 pi                           4pi^2

                                                                               C^2             C^2

then the area of the circle is A = pi(r^2) or pi*-------------- = ---------------

                                                                             4pi^2               4pi

                                                                        (147 ft)^2

and in this case the area of the circle is A = --------------

                                                                              4 pi

or A = 1720 ft^2


Related Questions

What is meant by the order of operations?

Answers

Answer:

Step-by-step explanation: The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Please help me please please ASAP ASAP please ASAP

Answers

Answer:

45

Step-by-step explanation:

Well, it is not 90 degrees, as it is not a right angle.

It cannot be 180 degrees as that would be a straight line and a triangle's whole angle measure is 180 degrees.

It is an acute angle, and appears to be half of 90 degrees, so I would have to say 45 degrees.

Not enough information is false because you can infer that it is 45 degrees by looking at it.

Hope that helps!

The answer is 45 because the person on top put 45

WILL REWARD BRAINLIEST (40 POINTS PLEASE HELP)

Answers

Answer:

first of all I can't see nothing

It’s just a white picture we can’t see nothing

What would be the best estimate for the height of a front door?

Answers

Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.

Step-by-step explanation:

i f N(-7,-1) is a point on the terminal side of ∅ in standard form, find the exact values of the trigonometric functions of ∅.

Answers

Answer:

[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]

[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]

[tex]tan\ \varnothing = \frac{1}{7}[/tex]

[tex]cot\ \varnothing = 7[/tex]

[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]

[tex]csc\ \varnothing = -5\sqrt 2[/tex]

Step-by-step explanation:

Given

[tex]N = (-7,-1)[/tex] --- terminal side of [tex]\varnothing[/tex]

Required

Determine the values of trigonometric functions of [tex]\varnothing[/tex].

For [tex]\varnothing[/tex], the trigonometry ratios are:

[tex]sin\ \varnothing = \frac{y}{r}[/tex]       [tex]cos\ \varnothing = \frac{x}{r}[/tex]       [tex]tan\ \varnothing = \frac{y}{x}[/tex]

[tex]cot\ \varnothing = \frac{x}{y}[/tex]       [tex]sec\ \varnothing = \frac{r}{x}[/tex]       [tex]csc\ \varnothing = \frac{r}{y}[/tex]

Where:

[tex]r^2 = x^2 + y^2[/tex]

[tex]r = \sqrt{x^2 + y^2[/tex]

In [tex]N = (-7,-1)[/tex]

[tex]x = -7[/tex] and [tex]y = -1[/tex]

So:

[tex]r = \sqrt{(-7)^2 + (-1)^2[/tex]

[tex]r = \sqrt{50[/tex]

[tex]r = \sqrt{25 * 2[/tex]

[tex]r = \sqrt{25} * \sqrt 2[/tex]

[tex]r = 5 * \sqrt 2[/tex]

[tex]r = 5 \sqrt 2[/tex]

Solving the trigonometry functions

[tex]sin\ \varnothing = \frac{y}{r}[/tex]

[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2}[/tex]

Rationalize:

[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]sin\ \varnothing = \frac{-\sqrt 2}{5*2}[/tex]

[tex]sin\ \varnothing = \frac{-\sqrt 2}{10}[/tex]

[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]

[tex]cos\ \varnothing = \frac{x}{r}[/tex]

[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2}[/tex]

Rationalize

[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]cos\ \varnothing = \frac{-7*\sqrt 2}{5*2}[/tex]

[tex]cos\ \varnothing = \frac{-7\sqrt 2}{10}[/tex]

[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]

[tex]tan\ \varnothing = \frac{y}{x}[/tex]

[tex]tan\ \varnothing = \frac{-1}{-7}[/tex]

[tex]tan\ \varnothing = \frac{1}{7}[/tex]

[tex]cot\ \varnothing = \frac{x}{y}[/tex]

[tex]cot\ \varnothing = \frac{-7}{-1}[/tex]

[tex]cot\ \varnothing = 7[/tex]

[tex]sec\ \varnothing = \frac{r}{x}[/tex]

[tex]sec\ \varnothing = \frac{5\sqrt 2}{-7}[/tex]

[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]

[tex]csc\ \varnothing = \frac{r}{y}[/tex]

[tex]csc\ \varnothing = \frac{5\sqrt 2}{-1}[/tex]

[tex]csc\ \varnothing = -5\sqrt 2[/tex]

If a plane traveled 610 miles in 1 hour, how fast is it going?

Answers

Answer:

very fast

Step-by-step explanation:

10.2 miles per minute :)

miles:610
Hours: 1
Miles/hour=miles per hour
610/1=610
Answer: 610miles per hour

I need help on both

Answers

The answer is c and d

HELP PLEASE IM BEING TIMED

Answers

Answer:g

Step-by-step explanation: because those sides equal one another if you flip them them same way

need help ASAP!!! anyone know ??????

Answers

Answer:

D

Step-by-step explanation:

the answer would be D

Will mark b for right answer !!!!!


( calculate angels using line and angle relationships)

Answers

Answer:

56

Step-by-step explanation:

because it is a right angle so 90 _ 34 = 56

Answer:

the answer should be 56 as 90-34=56

What is the slope-intercept equation for the line below?

Answers

Answer:

Answer is C

Step-by-step explanation:

A quartic polynomial P(x) has rational coefficients. If 2 − i and-√5 are roots of P(x) = 0, what are the other 2 roots?

Answers

Answer:

2 + i and + √5

Step-by-step explanation:

Since P(x) is a quartic equation, it has 4 roots.

Since 2 - i and -√5 are two of its roots, then its conjugate pairs of 2 + i and + √5 are its other two roots.

So, its other two roots are 2 + i and + √5

The diameter of a circle is 4 units.
What is the radius of the circle?
units

Answers

Answer:

radius = D/2

Step-by-step explanation:

radius= 4unit/2

=2unit

CAN SOMEONE PLEASE GIVE ME THE ANSWER TO QUESTION 6? PLS ILY

Answers

Answer:

12.5

Step-by-step explanation:

We want to find 1/8 of 100 so we would write it as 100÷8 to get 12.5

Now we know that 12.5 is equivalent to 1/8 but let's double check.

12.5×8 is 100

1/8 ×8 is 8/8

100=8/8

What is 8 x 3? I'm doing an i-ready lesson and I forgot, please help me XD

Answers

Answer: 24

Step-by-step explanation:

find the area of the semicircle (1/2 circle with a diameter of 10)

Answers

Answer:

39.25 unit²

Step-by-step explanation:

Radius of circle = diameter/2 = 10/2 = 5

Area of a circle = πr²

Area of ½ circle = ½ πr² = ½ x (22/7) x 5²

Area = 39.25 unit^2

Find the volume of the cone-

Answers

Answer:

12.6ft³

Step-by-step explanation:

Hey There!

So the first thing we need to do is find the formula for volume of a cone

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

r = radius

h = hypotenuse

Now all we have to do is plug in the hypotenuse and the radius

[tex]V=\pi 2^{2} \frac{3}{3}[/tex]

2²=4

[tex]\frac{3}{3} =1[/tex]

4xπ=12.5663706144

And now we just round to the nearest tenth

so we can conclude that the volume of the cone is 12.6ft³

Is (3, 3) a solution to the equation y
=
x?
yes
no

Answers

Answer:

yes

Step-by-step explanation:

(Asapppppp!!)
Simplify to create an equivalent expression,
19 - 6(-k - 2)
Choose 1 answer,
A.-6k+31
B.25k+7
C.6k+31
D.25k+32

Answers

Answer:

56/1230

Step-by-step explanation:

Answer:
I’m not sure but I think it is letter C.
Good luck

what is the relative frequency as a percent to the nearest tenths of males and females who ride their bike to school when compared to the total population?

Answers

Answer:

100 percent - 18 percent

Step-by-step explanation:

answer will come

Write the equation for the line L shown in the figure

Answers

the coordinate is (2, -2).

The coordinate point is (2,-2) because you do the X- axis first which is at 2 and then the Y-axis which is -2

Calculate and express your answer in decimal form. 12⋅17

Answers

Answer:

12·17=207 But if you need it in a decimal, I'd say 2.07. Hope this helps!! (:

Write the inequality represented by each graph..
Graph one : (0,-1) (6,3)

Graph two : (0,3) (4,-5)


Help

Answers

Answer:

Step-by-step explanation:

HERE ARE THE ANSWERS

. Solve for x
10 = 5(x + 8)

Answers

The answer is:
x= -6
____________

Answer:

x = -6

Step-by-step explanation:

10 = 5(x+8)

=> 5(x+8) = 10

=> 5x + 40 = 10

=> 5x = 10 - 40

=> 5x = -30

=> x = -30/5

=> x = -6

A square has a radius of 10 ft. Find the area of the square

Answers

Answer:

Hello hello

Step-by-step explanation:

Answer:

a square does not have a radius

Step-by-step explanation:

but you can find the area by squaring one side

karen is building a house in Norfolk, Virginia. She would like a bedroom that is 12 feet in length by 10 feet in width. What is the area of the bedroom?

Answers

Answer:

POINTFARMER.EXE=EZ

Step-by-step explanation:

Answer:

120 feet^2

Step-by-step explanation:

0.
A mountain climber ascends a mountain to its peak. The peak is 14,090 ft above sea level. The climber then descends 490 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber.


13,600 ft

14,580 ft

–13,600 ft

9,190 ft

Answers

Answer:

13,600 feet above sea level

Step-by-step explanation:

The climber was at 14,090 feet above sea level, and then they went 490 feet closer to sea level to meet the other climber. Since they’re moving closer to sea level and you want to know how far *above* sea level they are, subtract 490 from 14,090. 14,090-490=13,600 feet above sea level

0.6x + 2.7 = 0.9x


"solve the equation. show all your steps"​

Answers

Answer:

x=9

Step-by-step explanation:

0.6x+2.7=0.9x

move the terms

0.6x-0.9x=-2.7

collect like terms

-0.3x=-2.7

divide both sides

x=9

Drag the numbers to order them from greatest to least, with the greatest at the top.
(Any answer's that dont make sense or dont relate to the question will be reported and deleted)
.[tex]\sqrt{17}[/tex]
.[tex]\sqrt{12}[/tex]
.4.923935
.5.03709

Answers

Step-by-step explanation:

5.03709

4.923935

√17

√12

For what value of x is the rational expression below equal to zero?
(x+5)(x - 1)
A. 4
ОО
B. 1
C. -5
d
D. -4
SUBMIT

Answers

Answer:

I can only guess that by x^2-2x-24 you mean the entire denominator.  In cases like this is is important to use parentheses to remove any doubts.  For example:

(x+8) / (x^2-2x-24).

This rational expression is undefined at any x for which the denominator, x^2-2x-24, is zero.  

x^2-2x-24 factors into (x+4)(x-6).  The roots are -4 and +6.  

Thus, the given expression is undefined at {-4,6} (set notation).

Step-by-step explanation:

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