Find the area of the shaded segment of the circle​

Find The Area Of The Shaded Segment Of The Circle

Answers

Answer 1

Answer:

≈ 0.8 m²

Step-by-step explanation:

________________________________________________

FORMULA FOR FINDING AREA OF SEGMENT :-

[tex]A = r^{2} [\frac{\alpha }{360} \times \pi - (\sin \frac{\alpha }{2} \times \cos \frac{\alpha }{2} )][/tex]

Where :-

A = Area of the segmentr = Radius of the circleα (alpha) = Angle subtended by arc at the center

________________________________________________

Angle subtended by the minor arc at the center = 360° - 300° = 60°

Radius of the circle = 3 m

Area of the segment =

[tex]3^{2} [ \frac{60}{360} \times \pi - (\sin \frac{60}{2} \times \cos \frac{60}{2})][/tex]

[tex]= 9[\frac{1}{6} \times \pi - (\sin 30 \times \cos 30)][/tex]

[tex]= 9[\frac{\pi }{6} - (\frac{1}{2} \times \frac{\sqrt{3} }{2} )][/tex]

[tex]= 9[\frac{\pi }{6} - \frac{\sqrt{3} }{4} ][/tex]

[tex]= 9[\frac{2\pi - 3\sqrt{3} }{12} ][/tex]

[tex]= \frac{9}{12} \times (2\pi - 3\sqrt{3})[/tex]

( Assuming √3 = 1.73 & π = 3.14 )

[tex]= \frac{3}{4} \times (6.28 - 5.19)[/tex]

[tex]= 0.75 \times 1.09[/tex]

[tex]= 0.8175[/tex]

∴ Area of the segment ≈ 0.8 m² (rounding to the nearest tenth)


Related Questions

what is the value of x when 2^x-7*5^x-4=1250​

Answers

Step-by-step explanation:

The correct answer is the photo

Solve A = P(1 + rt) for t

Answers

A=P(1+rt)
A/P=1+rt
A/P-1=rt
AP-P/Pr = t
A-1/r=t

Answer:

t = (A/p-1) r

Step-by-step explanation:

p = p (1+rt)

A/P = 1+rt

rt = A/P- 1

t = ( A/P- 1) r

What is X=? // which choice is correct ? (Ignore my guessing choice mark)

Answers

Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

[tex]\tan\theta =\dfrac{Opposite}{Adjacent}[/tex]

In the given triangle,

[tex]\tan (60^\circ) =\dfrac{18}{x}[/tex]

[tex]\sqrt{3}=\dfrac{18}{x}[/tex]

[tex]x=\dfrac{18}{\sqrt{3}}[/tex]

[tex]x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

On further simplification, we get

[tex]x=\dfrac{18\sqrt{3}}{3}[/tex]

[tex]x=6\sqrt{3}[/tex]

[tex]x=10.3923[/tex]

[tex]x\approx 10.4[/tex]

Therefore, the length of the shortest leg is 10.4 and the correct option is B.

Find the unknown side length of these similar triangles using scale factor. Show working out.

Answers

its the solution I hope it's right good luck

You are walking in the woods when you spot a bald eagle high up in a tree. You measure the angle of elevation to the eagle to be 67 degrees. You then walk directly to the tree and determine that you were standing 150 ft from the tree when you saw the bald eagle. How high up in the tree was the bald eagle?

Answers

Answer:

Step-by-step explanation:

infinite

The height of up in the tree was the bald eagle is, 352.5 feet

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

You measure the angle of elevation to the eagle to be 67 degrees.

And, The angle of elevation to the eagle to be 67 degrees.

Now, Let the height of up in the tree was the bald eagle is, x

Hence, We can formulate;

⇒ tan 67° = x / 150

⇒ 2.35 = x / 150

⇒ x = 2.35 × 150

⇒ x = 352.5 feet

Thus, The height of up in the tree was the bald eagle is, 352.5 feet

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ3

−2x+5=−25
x =

green what’s the answer

Answers

Answer:

x = 15

Step-by-step explanation:

-2x= -25-5

-2x=-30

x= 15

The distance traveled at a constant speed is directly proportional to
the time spent traveling. If Lynnell traveled 70 miles in 3.5 hours, how
many miles will Lynnell travel in 4 hours at the same constant speed?

Answers

Answer:

80 mi.

Step-by-step explanation:

There are a couple ways to solve this problem.  I will show you one.  First, let's find the rate of travel.

D = RT

70 = 3.5R

R = 70/3.5 = 20

Using that speed, we now get

D = 20(4) = 80 mi.

can somebody please try to break down how to solve systems of equations by substitution as much as possible? i've used so many apps but i still can't get a grasp of it. please!!! 20 points. please don't answer just for the points!!!

Answers

Answer:

okay, so let's take an example problem:

y = x + 4 where "y" = 5

so first, you plug in 5 in "y"'s place like so:

5 = x + 4

then, you solve for "x"

5 - 4 = 1

so therfore:

x = 1

if you need more of an explanation please do not be afraid to reach out. my goal isn't to get points, it's to help.

What is the slope of the line that passes through the points (-8,-6) and (-18,6)

Answers

Answer:

-6/5

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 6 - -6)/( -18 - -8)

   = ( 6+6)/ (-18+8)

   = 12/ -10

    -6/5

please help me , I don't understand how to do this ​

Answers

Answer:

10 more eggs

Step-by-step explanation:

If each egg equals 5 eggs then

pen 3 has a total of 25 eggs

Pen 2 has a total of 5

pen 5 has a total of 10

10 + 5=15

25-15= 10

Hope this helps ^-^

Answer:

10

Step-by-step explanation:

First I would convert all the egg drawings to the actual number:

Pen 3: 25 eggs

Pen 2: 5 eggs

Pen 5: 10 eggs

Then I would add pens 5 and 2 together, this would sum up to 15.

Lastly, I would subtract 15 from 25 = 10 eggs

You borrow $10,000 to buy a car. The simple interest rate is 3%. You pay the loan off after 6 years. What
is the total amount you paid for the loan?

Answers

10,000+1,800=11,800 that’s the answer I believe

Consider the polynomial function q(x) = 3x^4 – 5x^3 – 2x^2 + x – 18.
What is the end behavior of the graph of q?

Answers

Answer:

a in the picture

Step-by-step explanation:

The end behaviour of the function is correctly represented by option 1.

What is the end behaviour of a function? What do you mean by domain and range of a function?

The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is the following function polynomial as -

q(x) = 3x⁴ – 5x³ – 2x² + x – 18

The given polynomial is -

q(x) = 3x⁴ – 5x³ – 2x² + x – 18

Graph the function. It can be seen that the domain is limited from -

x = -1.365 to x = 2.351 which is a small value. So, we can predict the end behaviour of the graph as given in option [1].

Hence, the end behaviour of the function is correctly represented by option 1.

To solve more questions on functions, visit the link below -

brainly.com/question/1632425

#SPJ2

Type the expression that results from the following series of steps:
Start with
y
, subtract 7, divide by 3, then add 6.

Answers

Answer:

well, y - 7 divided by 3 + 6 = y + 11/3

Step-by-step explanation:

hope this helps! have a nice day!

Rewrite the expression using the common denominator

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

Its c

Step-by-step explanation:

got it right on edge

There we go BRIANLIST

Answers

Answer:

B!

Step-by-step explanation:

Hope that helps!

i need help with this problem

Answers

slope = Δy / Δx

11-8
--------
5-4

=

3
----
1

= 3

Answer:

y = 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line

m = [tex]\frac{5-2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = 3x - 4 ← equation of line

Jacob has 3 times as many football cards as Eli. Eli has 39 football cards. Tara has 111 football cards. Who has more football cards, Jacob or Tara? How many more?

Answers

Answer:

Jacob

Step-by-step explanation:

39*3 = 117

because it says Jacob has 3 times as many football cards as eli... Eli has 39 so 39*3 is 117 and 117 is more than 111

Factor the GCF: 6x^2 + 3x + 9 *

Answers

Answer:

3(2x² + x + 3)

Step-by-step explanation:

zzzzzzzzzzzzzzz

Julie's brother says that instead of paying her the $40 he owes her, he will give her
$2 today and double the amount she has each day for 6 days. Should Julie accept
her brother's offer? Why or why not?

Answers

Answer:

Yes

2*2*2*2*2*2=64

so that is a much better deal than the original 40$

Step-by-step explanation:

sin^2A+cos^2A=? .find the value. ​

Answers

Answer:

1

Step-by-step explanation:

it is an identity. hope it helps

X/4-1.2=2
Need this fast

Answers

Answer:

x=12.8

Step-by-step explanation:

add 1.2 to the 2

x/4=3.2

multiply 3.2 by 4

x=12.8

Vera claimed the solution set on the number line represents the inequality Negative 78.9999 greater-than-or-equal-to x.

A number line going from negative 83 to negative 77. A closed circle is at negative 79. Everything to the left of the circle is shaded.

Which error did Vera make?
Vera wrote the inequality with the variable on the left side of the relation symbol.
Vera wrote a relation symbol that does not represent the direction of the ray.
Vera selected an inequality that does not include –79 in its solution set.
Vera used the wrong number in her inequality.

Answers

Answer:

Step-by-step explanation:

Vera used the wrong number in her inequality.

Please note this question was very confusing for me.

Answer:

D

Step-by-step explanation:

The person above me is right, but if you wanted to know the letter, it's D

:D

What is the volume of this rectangular prism?

1/4 cm,
1/2 cm,
1/3 cm

Reduce the fraction to its simplest terms.

Answers

What rectangular prims, what do you mean?!?

What is s??
A 44°
B 35.3°
C. 37.9°
D. 22°

Answers

Answer: Choice B) 35.3 degrees

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

Work Shown:

Apply the law of sines

sin(S)/s = sin(R)/r

sin(S)/16 = sin(120)/24

sin(S) = 16*sin(120)/24

sin(S) = 0.57735026918962

S = arcsin(0.57735026918962)

S = 35.2643896827542

S = 35.3

Make sure your calculator is in degree mode.

Si un bloqie rueda sobre un plano rugoso tiene perdida de energia mecanica ficicamente esto quiere decir

Answers

Answer:

Step-by-step explanation:

Desde el concepto de conservación de la energía mecánica, es decir, la energía asociada con el movimiento coherente de un objeto, la energía cinética del objeto, junto con su momento, están conectadas entre sí. Entonces, si un bloque rueda sobre un plano irregular, tiene pérdida de energía mecánica, esto significa que la energía cinética se compensa con las ganancias o pérdidas de la energía potencial de la interacción del objeto.

What is -4(x + 9) combine like terms

Answers

Answer:

-4x-36

Step-by-step explanation:

multiply -4 by x

multiply -4 by 9 and add each together

Answer:

-4x + -36

Step-by-step explanation:

This problem uses the distributive property. You need to multiply -4 by both things in the parentheses.

-4 · x = -4x.

-4 · 9 = -36

Hope this helps!

Evaluate (49/64) ^1/2 write it as a fraction

Answers

Answer:

7/8

Step-by-step explanation:

Get rid of the (   )

put the 49/64 into a √  sq root and it cancels out the 1/2

49/64       whats the square root of 49? 7  Ss root of 64 is 8

7/8

The surface of a rectangular table has an area of 8 square feet and a perimeter of 12 feet. What are the dimensions of the table?

? feet by ? feet
PLS .I really need help.Thank you

Answers

Answer:

4 ft by 2 ft

Step-by-step explanation:

4*2=8

4+4+2+2=12

9. In a home economics class, 6 girls worked together and sewed a dress in 4 days. How long
would it have taken for 4 girls to make the same dress?​

Answers

Answer:

6 days.

Step-by-step explanation:

Given that in a home economics class, 6 girls worked together and sewed a dress in 4 days, to determine how long it would have taken for 4 girls to make the same dress, the following calculation must be performed:

X / 6 = 4

X = 4 x 6

X = 24

24/4 = 6

Thus, the 4 girls will take 6 days to make the same dress that 6 girls made in 4 days.

an inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire are of the pool including the walkway is 924ft^2, find the width of the walkway.

Answers

Answer:

Step-by-step explanation:

[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]

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