a sector with a central angle measure of 7pi/4 in radians has a radius of 16cm what is the area of the sector

Answers

Answer 1

Answer:

The area of this sector is 224*pi cm² or approximately 703.72 cm²

Step-by-step explanation:

In order to calculate the area of a sector for which we have an angle in radians, we need to apply a rule of three in such a way that pi*r² is related to 2*pi radians in the same proportion as the given angle is related to the area of the sector we want to find. This is shown below:

2*pi rad -> pi*r² unit²

angle rad -> sector area unit²

2*pi / angle = pi*r² / (sector area)

2*pi*(sector area) = pi*r²*angle

sector area = [pi*r²*angle]/2*pi

sector area = r²*angle/2 unit²

Applying the data from the problem, we have:

sector area = [(16)²*(7*pi/4)]/2 = [256*(7*pi/4)]/2 = 64*7*pi/2 = 32*7*pi = 224*pi

sector area = 224*pi cm²

sector area = 703.72 cm²


Related Questions

Prodigy math i will mark you brainliest if you get it right

Answers

Answer:

8 and 2/8

Step-by-step explanation:

3 and 2/8 times 2 is 6 and 4/8 then u subtract that from 14 and 6/8

Answer:

1 is 18, and 2 is 36 brainliest

Step-by-step explanation:

AWARDING BRAINLIEST! PLEASE HELP!!!

Answers

Answer:

Right triangle

Step-by-step explanation:

we are given three sides as 14 ft, 48 ft, and 50 ft

Firstly, we will verify for right angle

We know that any triangle is right angled when it satisfies Pythagoras theorem

We know that hypotenuse side value is always largest

so, hypotenuse=c=50

Let's assume other two sides as

a=14

b=48

now, we can use Pythagoras theorem formula

C²=a²+b²

we can plug values and we check whether left side is equal to right side

50²=14²+48²

2500=196+2304

2500=2500

we can see that left side is equal to right side

Since, it satisfies Pythagoras theorem

Therefore, Right triangle is the answer

Answer:

I believe, obtuse.

Step-by-step explanation:

You have one extremely small side, two long sides. If you put your hands together and logically measure the 14 length side, you'd realize it is obtuse. I have no mathematical evidence.

what’s the solution

Answers

Answer:

We need more info

Step-by-step explanation:.

NEED ANSWER ASAP
For the function
f(x) = |x|-2, find the value when x = -3

Answers

Answer:

1

Step-by-step explanation:

The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, [tex]\mid -3 \mid -2=3-2=1[/tex]. Hope this helps!

Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. How many members are in the band when no one is absent…

Answers

Answer:

23

Step-by-step explanation:

225/25 = 21

21+2=23

Answer:

How many members are in the band when no one is absent?

the answer is c if you are refering to the khan academy question

Step-by-step explanation:

its from khan academy

hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points

Answers

Answer:

graph b because its a parabola

Step-by-step explanation:

Answer:

Graph B does not belong

Step-by-step explanation:

All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

How many solutions does this equation have?

–8 + t = –t + 10

Answers

Answer:

One

Step-by-step explanation:

Since (1) is the highest exponent value, there can only be one solution.

IF t^2 then there would be two answers.

Answer:

One solution

Step-by-step explanation:

To find the amount of solutions, you must solve first:

-8 + t = -t + 10

First, add t to both sides:

-8 + 2t = 10

Add 8 to both sides:

2t = 18

Divide both sides by 2:

t = 9

Since there has been a solution to this equation, that means there's only one solution.

You are part of a football team there are three possible outcomes for each match: win, lose or draw. What is the probability of winning the next two matches in a row? □ in □

Answers

Answer:

Probabilty of winning the next two matches in a row = 1/9

Step-by-step explanation:

The total number of possible outcome = 3

(Win, lose, draw)

The probability of obtaining a win in a single match = 1/3

The probability of winning in two rows is 1/3² = 1/9

How Do I type a fraction on my computer and NOT the / sign

Answers

You can't

Unless you have a special type of key board, you can only represent fractions with /. This is for a reason however, / also means divided by and that's what you're doing when you write a fraction. You divide the numerator by the denominator.

Sorry I can't give the answer you're looking for

which quadrilateral always has diagonals that are congruent but not necessarily perpendicular?

a) parallelogram
b) rectangle
c) rhombus
d) square

Answers

Answer:its a rectangle

Step-by-step explanation:

whats the circumference of a circle with a radius of 21 meters

Answers

Answer:

C =131.88 meters

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

where r is the radius

C = 2 * pi * 21

C = 42 pi

If we approximate pi by 3.14

C = 42(3.14)

C =131.88 meters

Answer:

131.88 m^2

Step-by-step explanation:

Circumference formula: 2pi × radius

2 × 3.14 = 6.28

6.28 × 21 = 131.88

Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?

Answers

I think its 40ft i hope it helps

Answer: 40 feet

Step-by-step explanation:  Volume = length * width * height

then substitute Volume = 2 * 4 * 5

multiply Volume = 8 * 5

multiply again Volume = 40

hope this helps mark me brainliest if it did have a great day

What two whole number integers would the square root fall in between ?
√(44)
4 and 5
6 and 7
5 and 6
8 and 9

Answers

Answer:

It would fall between 6 and 7

Step-by-step explanation:

Baby is planning to put a square garden with an area of 200 square feet in her back yard estimate the length of each side of the garden to the nearest whole number

Answers

Answer:

The correct answer will be 14

Step-by-step explanation:

I am 100% sure!!! Hope this helps.

PLEASE GIVE BRAINIEST!!!

The requried measure of the length of the garden is given as 14.14 feet.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Baby is planning to put a square garden with an area of 200 square feet
Let the side length be x,
according to the question,
Area of the square = 200
x² = 200
x = 14.14 feet

Thus, the requried measure of the length of the garden is given as 14.14 feet.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ2

Help meeee!!! Whats x

Answers

Answer:

74°

Step-by-step explanation:

The angle on a line = 180°

therefore:.

x + 106° = 180°

x = 180° - 106°

x = 74°

Answer: 74 degrees.

Step-by-step explanation:

Angles on the same side of a line add to 180.

The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:

106 + x = 180

x = 74

Solve for x in the following figure.

Answers

Answer:

x=80°

Step-by-step explanation:

supplementary angles equal 180°

∠J=80

80+x+20=180

100+x=180

x=80

How would you find the area of this?

Answers

the formula for it is bh , multiply 14 by 24 and the answer is 336

Consider circle A in the diagram below where the m∠DCG=25∘ and mCF^=60∘ and prove that m∠EDF=55∘.

Given that m∠DCG=25∘, this angle intercepts arc DG^ which makes mDG^=_, this means that mED^=130∘ as EG^ is a diameter.

∠CED intercepts CFD^, which makes m∠CED=_.

∠ECD intercepts ED^ which makes m∠ECD=_.

∠CDF intercepts CF^ which is 60∘, making m∠CDF=30∘. Using the triangle sum theorem, m∠EDC=_, and using Angle addition postulate the m∠EDF=55∘.

Answers

Answer:

50, 90, 65, 25

Step-by-step explanation:

I dont know how to get to it that is why I searched it up :/

You roll a number cube 20 times. Which scenario is least likely?

Answers

Answer:

you won't roll the same number 5 times

1. In rectangle PQRS, PR = 20x - 16 and QS = x + 554. Find the value of x and the length of each diagonal.
Q
R
C. x = 30, PR = 584, QS = 584
А. x = 15, PR = 569, QS = 569
B. x = 30, PR = 292, OS = 292

Answers

x = 30 PR = 584 QS = 584
diagonals of a rectangle are congruent.

plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

88 inches

Step-by-step explanation:

The given bicycle has a tyre that is 28 inches in diameter.

How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.

This is calculated using the formula:

C =\pi \: d

We substitute the diameter and

\pi =  \frac{22}{7}

C =  \frac{22}{7}  \times 28

This simplifies to

C =22 \times 4

88 \: inches

20:12 in simplest ratios​

Answers

Answer:

5: 3

Step-by-step explanation:

20:12

Divide each side by 4

20/4:12/4

5: 3

Answer:

5:3

Step-by-step explanation:

Simplify 20 and 12 until they cannot be divided as a whole anymore.

20=10=5

12=6=3

find out three rational numbers lying between 2/3 and 3/4


PLEASE HELP........ NEED TO SUBMIT THIS NOW....

Answers

7 divided by10, 11 divided by 16, 13 divided by 19

A circular rug has the radius of 4 feet. Which of the following is closest to the number of square inches the rug covers.

A. 55.26 ft2

B. 50.24 ft2

C. 29.7 ft2

D. 33.6 ft2

Answers

Answer:

B. 50.24ft

Step-by-step explanation:

A=(pie)r^2

A=3.14(4)^2

A=3.14 * 16

A=50.27

Closest to 50.24

Answer please ?
Thanks

Answers

Answer:

one solution ... hope this helps

Answer: One solution.

The reason why it is one solution is because you need to figure out the commonality between the two lines. What does this mean? Well, we need to figure out a solution that would prove a link between the two.

We see that there is a point of intersection, and no other points. This means there is only ONE link between the two; one solution.

NEW: The point of intersection could be labeled x. We need a number that satisfies both equations, so there should be only one solution to satisfy both-x.

You could prove this using an equation, but you can already tell by looking at it. If you would like, I'll help you figure out the equation, it may make more sense.

Hope this helps you out! Feel free to ask questions!

The ratio of men to women is 5 to 8. If there are 286 employees total how many women work for the company ??
Please answer

Answers

Answer:

There are 176 women in the company.

Step-by-step explanation:

Let number of men are 5x and number of women are 8x.

Total number of employees in the company are 286.

But according to given condition, total no of employees are :

[tex]5x+8x = 286\\\\13x=286\\\\x=\dfrac{286}{13}\\\\x=22[/tex]

Total no of women are 8x. It means [tex]22\times 8=176[/tex]. Hence, there are 176 women in the company.

Luke bought three canvas boxes to store his papers. The canvas boxes have dimensions of 12 inches by 10 inches by 12 inches. What volume of itmes can be the three canva boxes hold?

Answers

Given Information:

Number of boxes = 3

Length of boxes = L = 12 inches

Width of boxes = W = 10 inches

Height of boxes = H = 12 inches

Required Information:

Volume of items boxes can hold = ?

Answer:

[tex]Volume = 4320 \: in^{3}[/tex]

Step-by-step explanation:

We are given that Luke bought 3 canvas boxes to store his papers.

We are also provided the dimensions of boxes.

We are asked to find out the volume of items that can be stored by these 3 canva boxes.

A canva box has shape of a rectangular prism and its volume is given by

[tex]Volume = L \times W \times H[/tex]

Where L is the length of the box, W is the width, and H is the height of box.

[tex]Volume = 12 \times 10 \times 12 \\\\Volume = 1440 \: in^{3}[/tex]

So the volume of 3 boxes is

[tex]Volume = 3\times 1440 \\\\Volume = 4320 \: in^{3}[/tex]

Therefore, the 3 canva boxes can store 4320 cubic inches of volume.

Answer:

D) 4,320

Step-by-step explanation:

A school dedicated 50% of the courtyard area for students to start a garden. The students want to know how much of the 632-square-foot space they will be able to use.

Answers

Answer:70

Step-by-step explanation:

Answer:

this is SUPER late but it is 1/2 x 632

Step-by-step explanation:

3. The measure of each inscribed
angle is equal to( )times the
measure of the intercepted arc.
a. 1/2
b. 1
c. 2

Answers

Answer: A. 1/2

Step-by-step explanation:

Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points each in vocabulary words question worth five points each how much of each type of question are there

Answers

Answer: There are 10 two points and 16 five points questions.

Step-by-step explanation:

This is the detailed question:

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

Let y = the number of 2 points questions

Let z = the number of 5 points questions

y + z = 26 ......... i

2y + 5z = 100 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2y + 2z = 52 ......... iii

2y + 5z = 100 ....... iv

Subtract iv from iii

-3z = -48

z = 48/3

z = 16

Since y + z = 26

y = 26 - 16

y = 10

y = 10 two points questions

z = 16 five points questions

There are 10 two points and 16 five points questions.

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