The circumference of a circle is 12π m. What is the area, in square meters? Express your answer in terms of π.

Answers

Answer 1

Answer:

π 36 m^2

Step-by-step explanation:

C = 2π R = 12π m --> R = 6m

A = π R^2 = π 36 m^2

Answer 2

Answer:

Area of circle = 36π

Step-by-step explanation:

In the question we are given that circumference of circle is 12π m . And we are asked to find the area of circle in term of π .

Solution : -

For finding area of circle we need to find the radius of circle . In the question circumference of circle is given . So we can find radius of circle using it . We know that ,

[tex] \qquad \quad \pink{\underline{\pink{\boxed{\frak{Circumference_ {(Circle) }= 2\pi r}}}}}[/tex]

Where ,

π refers to 3.14 or 22/7

r refers to radius of circle

But as in the question , it is given that we have to find the area in term of π. So we aren't using π as 3.14 or 22/7 .

Now, Radius :

[tex] \longrightarrow \qquad \: 12 \cancel{\pi }= 2 \cancel{\pi} r[/tex]

Step 1 : Cancelling π and we get :

[tex] \longrightarrow \qquad \:12 = 2r[/tex]

Step 2 : Dividing both sides by 2 :

[tex] \longrightarrow \qquad \: \cancel{\dfrac{12}{2} } = \dfrac{ \cancel{2}r}{ \cancel2} [/tex]

On further calculations we get :

[tex] \longrightarrow \qquad \: \boxed{ \bf{r = 6 \: m}}[/tex]

Therefore , radius of circle is 6 m .

Finding Area :

As we have find the radius of circle above so we can find its area easily . We know that ,

[tex] \qquad \: \qquad \pink{\underline{\pink{ \boxed{{\frak{ Area_{(Circle)} = \: \pi r {}^{2} }}}}}}[/tex]

Now substituting value of radius :

[tex] \longmapsto \: \qquad \quad\pi (6) {}^{2} [/tex]

[tex] \longmapsto \: \qquad \quad \pi \times \: 6 \times 6[/tex]

[tex] \longmapsto \: \qquad \quad \pi \times 36[/tex]

We get :

[tex] \longmapsto \: \qquad \quad \blue{\underline{\blue{\boxed{\frak{ \bf{36 \pi \: m {}^{2} }}}}}}[/tex]

Therefore, area of circle is 36π square metres .

#Keep Learning

Related Questions

ASAP HELP
Who had the lowest median score? Justify your answer using mathematical reasoning.

Answers

Answer:

Annie:71

Step-by-step explanation:

Annie had the lowest because the scores go as said: 62,70,70,71,77,78,79

and you cross out the lowest and highest until you reach the middle

And for Katie: 0,89,93,93,95,100,100

crossing out until you reach the middle.

PLEASE HELP ME MY 30 QUESTIONS ARE DUE TODAY!!!! ( 19 POINTS) (will also give brainliest)

Answers

Answer:

10 ft

Step-by-step explanation:

120÷12=10

So, 10x12=120

The answer is 10 ft

Answer:

B

Step-by-step explanation:

To find the width of the bedroom, divide 120 by 12. 10 feet is therefore the width. (Area = length x width.)

Sullivan is hanging on by only 1/4 of
his fingers when Randall is trying to get
him to fall. If Sullivan has a total of eight
fingers, how many fingers is he holding
on by

Answers

Answer:

Sullivan is hanging on by 2 fingers.

Step-by-step explanation:

Since Sullivan has 8 fingers, a quarter of them (1/4) would be 8*1/4=2.

I am on my trigonometry unit in math and don’t know what to do for this. I also really need work shown!

Answers

Answer:

The flight was 137.45 miles farther than the direct path.

(make slight changes if directions were given on how to round. This is to the nearest hundredth)

Step-by-step explanation:

Use the Law of Cosines.

c^2=

a^2+b^2-2abcosC

You know two sides and the angle in between. The Law of Cosines will give us the third side.

The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.

Then subtract the smaller number (direct route) from the actual route. See image.

Events A and B are disjointed.
P(A) = 4/11; P(B) = 3/11 .
Finda P(A or B)

7/11
4/11
3/11
8/11

Answers

7/11 is the final answer.

use the formula for disjointed events: P(A or B) = P(A) + P(B)

=================================

P(A or B) = P(A) + P(B)

P(A or B) = 4/11 + 3/11

P(A or B) = 7/11

The following information is known about a savings account.

Time = 6 years
Interest rate = 1.9%
Principal = $850

What amount of total interest will be earned at the end of year 6?
$16.15
$96.90
$946.90
$9,690.00

Answers

Answer:

96.90

Step-by-step explanation:

850  *  .019  *  6   =

  This is simple interest ( no compounding interest)

Answer:

$96.90

Step-by-step explanation:

Let's find 1.9% of our amount, which is $850.

1% of 850 = 8.5

we need to get 1.9%, so lets multiply our current 1 percent by 1.9, to get what 1.9% would be.

1% of 850 = 8.5

x1.9 x1.9

1.9% = 8.5 x 1.9

1.9% = $16.15

This means that every year, the savings account gains $16.15 in interest. However, this doesn't account for all 6 years. So we multiply 16.15 by 6, for the 6 years that the money is in the saving account for.

$16.15 x 6 = $96.90 !

So, the total interest is $96.90 :)

Pls help I don’t understand I’m not that smart.

Answers

Answer:

47.5

Step-by-step explanation:

The formula for the area of half a circle is (pi * radius^2)/2

diameter = 11

pi = 3.14

radius = diameter/2 = 11/2 = 5.5

A = (3.14 * 5.5^2)/2

A = 94.985/2

A = 47.4925

Eight friends went to a pizza party they got to create their own pizza

Answers

That’s nice to know
Love pizza

The body of water that lies to the south of Europe is __________. A. the Atlantic Ocean B. the Baltic Sea C. the Mediterranean Sea D. the Pacific Ocean Please select the best answer from the choices provided A B C D

Answers

Answer:

C. Mediterranean Sea

Step-by-step explanation:

The Mediterranean Sea is south of western Europe. The Atlantic doesn't really touch Europe, the Pacific is east of Europe, and the Baltic sea is in northern Europe.

A triangle has side lengths measuring 2x 2 ft, x 3 ft, and n ft. which expression represents the possible values of n, in feet? express your answer in simplest terms. x – 1 < n < 3x 5 n = 3x 5 n = x – 1 3x 5 < n < x – 1

Answers

The expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle whose side lengths measures are (2x+2) ft, (x+3) ft, and n ft.

If we take the first two sides are (2x+2) ft, (x+3) ft, and third is n ft.

By the triangle property, that sum of the two sides is always greater than the third side.

2x+2+x+3 > n

3x+5 > n  .....(1)

Now take first two sides as n ft, (x+3) ft, and third side (2x+2) ft

n+x+3 > 2x+2

n > x-1 .....(2)

From the inequality (1) and (2), we get:

x – 1 < n < 3x + 5

Thus, the expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

Learn more about the triangle here:

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Mark is looking for professional financial assistance. mark has never invested before and is not quite sure where to start. he knows that he wants to build up investments for future projects such as retirement, but he is not sure how to navigate investment in light of his existing debts. recommend an appropriate financial professional for mark. a. full-service broker b. discount broker c. accountant d. financial planner

Answers

Mark is advised to consult a financial planner as he will carefully be able to  do financial planning when, where and how much to invest as per the desired goals.

What is financial planning?

Financial Planning is a process of planning the financial goals of an individual by proper assessment of resources and putting forth the steps that are to be performed to achieve those goals.

A financial planner is a qualified expert who can help in making good investments on behalf of someone who does not have expert knowledge or time to do so.

Hence, option D; Mark should consult a financial planner professional for the purpose of beginning his investment journey by financial planning and achieving the goals thereunder.

Learn more about financial planning here:

https://brainly.com/question/21780268

Answer:

D

Step-by-step explanation:

edge 2023

to decide which tin of coffee is better value for money, calculate the price per gram of a 250g tin of coffee for R29.49 and a 750g tin of coffee for R69.99​

Answers

Answer:

250g tin

Step-by-step explanation:

250g tin is 8.48g per R

750g tin is 10.77g per R

Jon has 212 meters of wood that he plans to cut into 4 equal pieces to use as part of his new wood floor. What is the length, in meters, of each piece of wood

Answers

Answer:

53 meters

Step-by-step explanation:

because if you do 212÷4 you will get 53 meters

I need so much help with these two and quick if anybody can helpe out thanks.

Answers

Answer:I need so much help with these two and quick if anybody can helpe out thanks.

Step-by-step explanation:

I need so much help with these two and quick if anybody can helpe out thanks.

Find A^-1, if A =
[4 6
2 4]

Answers

Answer:

B

Step-by-step explanation:

¼[4. -6]

¼[-2. 4]

to get inverse. add - sign to a21 and a11

then find the magnitude

Quadratics, parabola. Please help, will give Brainliest

Answers

Answer:

See image below

Step-by-step explanation:

Christina also plans on leaving her $10,000 invested for 20 years. Write an equation representing her investment’s value, y, after x years. What is the value of Christina’s investment after 20 years?

Answers

The required equation is y = 10000(1.0.25)^2x. The value of Christina’s investment after 20 years is $30,773.14

Compound interest

The interest accrued on a sum of money is known as interest. The formula for calculating the compound interest is expressed as:

y = y0(1+r/n)^nx

where

x is the time taken

r is the rate in decimal

n is the compounding time


Given the following

x = 20 years

n  2(semi annually)

r  = 5.7% = 0.057

Substitute

y = 10000(1+0.057/2)^2(20)
y = 10,000(1 + 0.0285)^40

y = 10000(1.0285)^40
y = 30,773.14

Hence the value of Christina’s investment after 20 years is $30,773.14

Learn more on compound interest here: https://brainly.com/question/24924853

If you were to flip the coin 15 times, how many times will the coin land on tails based on the experimental probability? Show your work in the box below the image.

Answers

Number of tails(21) / Total times flipped (45) = ~0.466667%

Chance of tails(~0.466667%) times total times flipped( 15) = 6.99999999…=7

Basically just find the percent of tails and use that percent for the different amount of times the coin will be flipped.

Answer: 7

The coin will land 7 times tail based on the experimental probability.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

When the coin tossed 45 times.

Head= 24, tail = 21

So, fraction of appearing tail will be

= 21 / 45

= 0.466667

Now, if the coin tossed 15 times then the coin land on tails

= 15 x 0.466667

= 7

Learn more about Probability here:

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given that 9x=28-5x.find the value of x

Answers

[tex]~~~~9x=28-5x\\\\\implies 9x +5x = 28\\\\\implies 14x = 28\\\\\implies x = \dfrac{28}{14}\\\\\implies x = 2[/tex]

Step-by-step explanation:

Given Equation,

[tex]\\ \longrightarrow \qquad \sf 9x=28-5x \\ \\ [/tex]

Now, Adding 5x to both sides we get :

[tex]\\ \longrightarrow \qquad \sf 9x + 5x=28-5x + 5x \\ \\ [/tex]

[tex] \longrightarrow \qquad \sf 14x=28 \\ \\ [/tex]

Dividing 14 from both sides we have :

[tex]\\ \longrightarrow \qquad \sf \frac{14x}{ 14 } = \frac{28}{14} \\ \\ [/tex]

[tex] \longrightarrow \qquad \sf x=2 \\ \\ [/tex]

Therefore,

The value of x is 2

Which polynomial is in standard form?

Answers

B:
Explanation that equation is the B

A hot air balloon travles 18 miles in 3 hours. at this rate, how many miles will the hot air balloon travel in 3/4 hour

Answers

Answer:

4.5 hours

Step-by-step explanation:

The number of miles the hot air ballon will travel in 3/4 hours at the same rate of 18 miles in 3 hours is 4.5 miles.

In 3/4 hour the hot air balloon will have traveled a total of 4.5 miles

GIVE A DETAILED AND GOOD ANSWER FOR BRAINLIEST
Question 2(Multiple Choice Worth 5 points)
(06.08A LC)

Look at the triangle ABC.

Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 1, and C at ordered pair 4, 1.

What is the length of the side AB of the triangle?

2
Square root of 20
6
Square root of 38

Answers

Answer:

√20 units

Step-by-step explanation:

[tex]Solution,\\\\\hookrightarrow Here,\\\\\hookrightarrow Coordinate\:of\::\\\\\hookrightarrow A(4,5),B(2,1),C(4,1)\\\\Now,\\\\Let,\\\\(x_1,y_1)=(4,5)\\\\(x_2,y_2)=(2,1)\\\\Using\:distance\:formula\\\\Distance\:of\:AB=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\\\Distance\:of\:AB=\sqrt{(2-4)^{2}+(1-5)^{2}} \\\\Distance\:of\:AB=\sqrt{(2-4)^{2}+(1-5)^{2}} \\\\Distance\:of\:AB=\sqrt{(-2)^{2}+(-4)^{2}} \\\\Distance\:of\:AB=\sqrt{4+16} \\\\Distance\:of\:AB=\sqrt{20}\: units[/tex]

i need help asap !!!!!!

Answers

Answer:(6, -4)

Step-by-step explanation: That’s where they meet at point B

Answer:

Answer:(6,-4)

Step-by-step explanation:

they meet at point B

help me if you know the answer dont reply if u dont know

Answers

Answer:

A). x=3/4

Step-by-step explanation:

2(6-2x)-2x=2(5+x)-4

Rearrange terms,

2(6-2x)-2x=2(5+x)-4

2(-2x+6)-2x=2(5+x)-4

Distribute,

2(-2x+6)-2x=2(5+x)-4

-4x+12-2x=2(5+x)-4

Combine like terms,

-4x+12-2x=2(5+x)-4

-6x+12=2(5+x)-4

Rearrange terms,

-6x+12=2(5+x)-4

-6x+12=2(x+5)-4

Distribute,

-6x+12=2(x+5)-4

-6x+12=2x+10-4

Subtract the numbers,

-6x+12=2x+10-4

-6x+12=2x+6

Subtract 12 from both sides,

-6x+12=2x+6

-6x+12-12=2x+6-12

-6x=2x+6-12

-6x=2x-6

Subtract 2x from both sides,

-6x=2x-6

-6x-2x=2x-6-2x

-8x=2x-6-2x

-8x=-6

Divide both sides by the same factor ( -8),

-8x/-8=-6/-8

x=-6/-8

x=3/4

4) Increase 340g by 20% ​

Answers

Add the percentage as a decimal

To 1 to get 1.20

Multiply:

340 x 1.20 = 408


Answer: 408

A park maintenance person stands 16m from a circular monument. Assume that her lines of sight from tangents to the monument and make an angle of 47 what is the measure of the arc of the monument that her lines of sight intersect?


A) 23. 5


B) 94


C) 266


D) 133

Answers

Answer:

D 133 degrees

Step-by-step explanation:

The measure of an angle external to a circle = the difference of the two arcs intercepted divided by 2

47  = [ (360 - x) - x ] / 2

94 = 360 - 2x

x = 133 degrees of the arc

If you derive a y-value by taking the tangent of an x-value, can you idently
corresponding to that y-value by looking at the graph? Justify your answer.
Type your response here:

Answers

Answer:

Step-by-step explanation:

Certainly we can estimate y = tan x from the graph of this function, for any x at which the function is defined.   Don't expect exact values, however.

What is the product of 960 and 1.0 x 106 expressed in scientific notation?​

Answers

The product of 960 and 1.0 x 106 expressed in scientific notation is 9.6 x 10^8.

The product of 960 and 1.0 x 10⁶ expressed in scientific notation is 9.6 x 10⁸.

To express the product of 960 and 1.0 x 10⁶ in scientific notation, we first perform the multiplication:

960 x 1.0 x 10⁶

= 960 x 10⁶

= 960,000,000

Since the result is greater than 1, but less than 10, we need to express it as a number between 1 and 10 multiplied by a power of 10.

In this case, we can express 960,000,000 as 9.6 x 10⁸.

Therefore, the product of 960 and 1.0 x 10⁶ expressed in scientific notation is 9.6 x 10⁸.

This notation represents a number that is 9.6 times 10 raised to the power of 8. It is a compact and convenient way to represent large numbers, especially in scientific and engineering contexts, where large quantities are common.

To learn more about multiplication;

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What is the slope of the line that passes through the points ( 8 , − 6 ) and (8,−9)? Write your answer in simplest form.

Answers

Answer:

No slope

Step-by-step explanation:

The points given are on the vertical line x = 8

   vertical lines have an 'undefined' slope....no slope

If anyone knows lmk, ty.

Answers

Answer:

6

Step-by-step explanation:

When multiplying numbers with the same base, just add the exponents. (4+2=6)

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