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

just the 11b. due in 12 hrs. Need this very soon. :) thx​

Answers

Answer:

28 litres of mango juice will be required

Step-by-step explanation:

11). b. Internal dimensions of the rectangular prism are,

         Length = 40 cm

         Width = 20 cm

         Height = 35 cm

         Volume of the rectangular prism = Length × Width × Height

                                                                 = 40 × 20 × 35

                                                                 = 28000 cm³

          Since, 1 cm³ = 1 mL

          Therefore, 28000 cm³ = 28000 mL

          Since, 1000 mL = 1 L

          28000 mL = 28 L

          Therefore, to fill this jar 28 L of orange juice will be required.

hi can you please tell me what the answers are?​

Answers

Answer:

m<PTQ=90

m<TSR=45

PT=9

PLS PLS PLS PLS HELP ME
Exponents work the same way on bases that are _[blank A]_ as they do on bases that are numbers.

When a variable has an exponent, the exponent tells you how many times the variable is _[blank B]_ by itself.

In order to make a negative exponent positive, you must take the _[blank C]_ of the base.

A variable raised to the power of _[blank D]_ is always equal to 1.

Match each blank with the correct item that fills in that blank.

multiplied
0
exponents
reciprocal
1
added
variables
opposite

Answers

A - variables

B - multiplied

C - reciprocal?

D - 0

//

I'm not too sure about C. it can either be the reciprocal or the opposite.

Triangle B C D is shrunk to form triangle B prime C prime D prime.
Identify the type of transformation that maps triangle BCD onto triangle B’C’D’.

The transformation is a

Answers

Answer:

dilation.

Step-by-step explanation:

Answer:

dilation

Step-by-step explanation:

help me out i would really appreciate it

Answers

Answer:

I think they both are linear

Yes, both of the questions are linear.

Convert the following quadratic equation to vertex form. 2) 3x2 - 12x - 5

Answers

Answer:

2*12x-5

Step-by-step explanation:

In geometry, a vertex form is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. For example, a square has four corners, each is called a vertex.

The equation below shows the total volume (V), in cubic units, of 9 identical boxes with each side equal to s units:

V = 9s3

If s = 1.6 units, what is the value of V?

23.040 cubic units
36.864 cubic units
58.980 cubic units
129.60 cubic units

Answers

36.864 cubic units is what the answer is

Write [tex]7^{-3}[/tex] as a fraction

Answers

Answer:

[tex]\frac{1}{343}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then

[tex]7^{-3}[/tex]

= [tex]\frac{1}{7^{3} }[/tex] = [tex]\frac{1}{343}[/tex]

Which situations can be represented by an exponential function?

Select each correct answer.




Every year, the number of online video subscriptions increases by 3 times what is was the previous year.

In a structure made of bricks, each row has 10 more bricks than the previous row.

The value of a vehicle decreases by 11% each year.

A dentist's office accepts 15 new patients each month.

Answers

9514 1404 393

Answer:

  (a) subscriptions

  (c) vehicle value

Step-by-step explanation:

Exponential functions are used to describe situations where the amount of change is proportional to the amount.

If the amount of change is a constant, then the function is linear.

A. video subscribers change by an amount proportional to their number, so is an exponential function.

B. the change in number of bricks in a row is a constant, so the function is a linear function.

C. The amount of change is proportional to the value, so the function is an exponential function.

D. The change in patient count is a constant, so the function is a linear function.

The mid point of a given line segment must lie on the given line segment

true or false

Answers

Answer: The answer is true .

If someone can help that would be great

Answers

Answer:

x = 16

Step-by-step explanation:

For the triangle to be isosceles then AB = CB , that is

5x - 9 = 4x + 7 ( subtract 4x from both sides )

x - 9 = 7 ( add 9 to both sides )

x = 16

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!

Explain how you can use ratios of the side lengths to find the angle measures of the acute angles in a right triangle.

Answers

Answer:

The answer is below

Step-by-step explanation:

Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.  

Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.

If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:

sinθ = opp. / hyp.v;  cosθ = adj. / hyp. ; tanθ = opp. / adj.

Select the equation that represents the question.

35% of what number is 35?
please help

Answers

Answer:

Step-by-step explanation:

35% of 100 = 36

verify the segments are parallel

Answers

Step-by-step explanation:

I don't have a answer but try photo math app it might help you a lil


1. Lawrence's parents pay him a base allowance of $10 per week and $3.20 per hour for extra chores he completes.
Mr. Williams pays Lawrence $7.80 per hour to fix broken washing machines at the laundromat. Which equation
models Lawrence's total weekly income?

Answers

Answer: 1. C and number 2 is A

Step-by-step explanation: Hope this helps

Please help due today

Answers

Answer:

14 miles

Step-by-step explanation:

3 + 4 + 3 + 4 = 14

I need help really fast!!!

Answers

Answer:

by using Pythagoras law

16²=(2x²)²+(2x²)²(since base angle of isosceles triangle is equal

16²=4x⁴+4x⁴

16²=16x⁴

16=x⁴

[tex]x = \sqrt[4]{16} [/tex]

x=2

Consider the function f(x) =2x+3 Find the average rate of change from the following points x=2 and x= 6

Answers

Step-by-step explanation:

step 1. m = 2.

step 2. for a linear equation the average rate of change between any points is the slope m.

10.
Write a rule for the linear function in the graph.

A. y = 4/5x + 2

B. y = -5x - 2

C. y = 5/4x - 2

D. y = -4/5x + 2

Answers

Answer:

D. y = -4/5x + 2

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

4

5

y-intercept:  

(

0

,

2

)

x

y

0

2

5

2

0

Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above

Answers

none of the above
hope this helps :)
None of the above the answer would be 205
May God bless you and your family

can someone explain how to do this

Answers

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

Answer:

I recommend using GeoGebra to graph the coordinates

Step-by-step explanation:

I use that whenever someone asks if certain coordinates make a shape

Here's the link:

http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/GeoGebra_Activity.html

PLSSSSS HELP CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

6 units

Step-by-step explanation:

use imagination to separate the triangle from the square.

2*2 is 4 which is the volume of the square part

2*2/2 is the volume of the triangle which divides out to be 2

2+4=6

Select the correct answer. What is the value of a in the function’s equation?

Answers

Answer:

[tex]a = -2[/tex]

Step-by-step explanation:

Given

The attached function (graph)

Required

Find a

The given function is quadratic and will be solved using:

[tex]y = ax^2 + bx + c[/tex]

From the attachment:

[tex](x,y) = (-3,4)[/tex]

[tex](x,y) = (-2,2)[/tex]

[tex](x,y) = (-4,2)[/tex]

Substitute these values in [tex]y = ax^2 + bx + c[/tex]

For: [tex](x,y) = (-3,4)[/tex]

[tex]4 = a(-3)^2 + b(-3) + c[/tex]

[tex]4 = 9a -3b + c[/tex]

For: [tex](x,y) = (-2,2)[/tex]

[tex]2 = a(-2)^2 + b(-2) + c[/tex]

[tex]2 = 4a -2b + c[/tex]

For: [tex](x,y) = (-4,2)[/tex]

[tex]2 = a(-4)^2 + b(-4) + c[/tex]

[tex]2 = 16a -4b + c[/tex]

So, we have:

[tex]4 = 9a -3b + c[/tex] --- (1)

[tex]2 = 4a -2b + c[/tex] ---- (2)

[tex]2 = 16a -4b + c[/tex] --- (3)

Make c the subject in (1)

[tex]c = 4 - 9a + 3b[/tex]

Substitute [tex]c = 4 - 9a + 3b[/tex] in (2) and (3)

[tex]2 = 4a -2b + c[/tex]

[tex]2 = 4a -2b + 4 - 9a + 3b[/tex]

Collect Like Terms

[tex]-4 + 2 = 4a - 9a-2b + 3b[/tex]

[tex]-2 = - 5a+b[/tex] --- (4)

[tex]2 = 16a -4b + c[/tex]

[tex]2 = 16a - 4b + 4 - 9a + 3b[/tex]

Collect Like Terms

[tex]2 -4 = 16a - 9a + 3b- 4b[/tex]

[tex]-2 = 7a -b[/tex] --- (5)

Add 4 and 5

[tex]-2 = - 5a+b[/tex]

[tex]-2 = 7a -b[/tex]

--------------------------

[tex]-2 - 2 = -5a + 7a +b - b[/tex]

[tex]-4 = 2a[/tex]

Divide through by 2

[tex]-2 = a[/tex]

[tex]a = -2[/tex]

Find the circumference of the circle use 3.14 for that symbol help ASAP

Answers

Hello
Radius of circle =1.5cm
Therefore the circumference of the circle =2x3.14x15= 9.42cm
The answer is 9.42 cm

Find the number of terms and the degree of this polynomial. -9
[tex]9 {r}^{9} [/tex]
Number of terms: Degree: ​

Answers

Answers:

Number of terms: 1Degree:  9

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

Explanation:

This is consider a monomial since we only have one term. Terms are separated by a plus sign, so something like 5x^2+10x has two terms.

The degree of a polynomial is the largest exponent when dealing with single variables. In the case of 9r^9, the largest exponent is 9, so the degree is 9. Going back to an example like 5x^2+10x, the largest exponent is 2 so this is the degree of this example.

Find the area of the triangle.

Answers

Answer:

[tex] 28\: ft^2[/tex]

Step-by-step explanation:

Area of the triangle

[tex] = \frac{1}{ \cancel2} \times 7 \times \cancel 8 \\ \\ = 7 \times 4 \\ \\ = 28 \: {ft}^{2} [/tex]

A Train crosses a bridge 100 m in 45 sec at a speed of 60 km/h find a time taken by the train to cross a clock tower​

Answers

Ans is 351/8.

hope it is helpful

MATH PLS HELP
(7h+9)+(4h+4)

Answers

Answer:

11h+13

Step-by-step explanation:

7h+4h=11h

9+4=13

Answer:

11h+13

Step-by-step explanation:

Combine like terms.

THIS IS GEOMETRY I ONLY ahve 10 MINUTES PLEASE HELP THANK U

Answers

Answer:

i need a photo or an equation TvT

Step-by-step explanation:

TvT TvT TvT

There’s not question thought :/
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