Mathematics High School

The measure of central angle RST is r radians.

What is the area of the shaded sector?

A. 41π units^2
B. 8π units^2
C. 16π units^2
D. 20π units^2​

The Measure Of Central Angle RST Is R Radians. What Is The Area Of The Shaded Sector? A. 41 Units^2B.

Answers

Answer 1

The area of the shaded sector of the circle is 16π units².

How to find the area of a circle?

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex]

sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex]

sq. units

We are given that;

θ = r radians

r = 4 units

Now,

To convert radians to degrees, we use the formula:

Degrees = Radians × 180°/π

So,

θ = r × 180°/π

Substituting these values in the formula for area of a sector, we get:

Area of a sector = (r × 180°/π / 360°) × π(4)²

Simplifying, we get:

Area of a sector = r² units²

=16π units².

Therefore, by the area of a circle the answer will be 16π units².

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Related Questions

Help me please ........

Answers

Answer:

Step-by-step explanation:

What is the area of major sector DFE?
A. 157.86 square cm
B. 133.94 square cm
C. 132.54 square cm
D. 125.57 square cm

Answers

Answer:

Step-by-step explanation:

Area of the circle = πr² = π7.3² = 53.29π

Area of major sector = 53.29π(285/360) ≈ 132.54 cm²

The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.

What is a Major Sector ?

The region bounded by the two radii and intercepted arc in a circle is called a sector .

The angle made by the radii to the center of the circle is called central angle .

if the measure of the angle is less than 180 degree then it is called minor sector and if the angle is more than 180 degree , it is called Major Sector.

It is given that

The radii of the circle is 7.3 cm

The angle subtended by the major sector at the center is 285 degree.

The area of the sector is given by

= ([tex]\rm \theta[/tex] / 360) * Area of the circle

Area of the circle is πr²

Area of the sector = ( 285 / 360) * (22/7) * (7.3)²

Area of the sector is 132.5 sq.cm

Therefore , The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.

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Find the value of i^9

Answers

Answer:

The answer is i (i^9)

Step-by-step explanation:

Will give brainlist for correct answer.

Answers

-5,-1 is the correct answer

Answer:

(-5, -1)

Step-by-step explanation:

When two lines intersect, their x and y values are equal. So,

x = 3y - 2 must equal -7 - 2y = x

x = 3y - 2 = -7 - 2y = x

Let's look at the two middle equations and solve for y.

3y - 2 = -7 - 2y

Add 2y to both sides

5y - 2 = -7

Add 2 to both sides.

5y = -5

y = -1

Now, let's find x. You can use either equation for this step.

When y = -1, then 3y - 2 =

(3)(-1) - 2 = -3 - 2 = -5

So, x = -5, and y = -1

Thus, the answer is (-5, -1)

I hope this helps! Feel free to ask any questions!

It costs $35 for one adult and two children to attend a show. It costs $60 for two adults and three children to attend the same show. How much does it cost one adult and one child to attend the show? Set up and solve a system of equations using substitution.

Answers

Answer:

For one adult it costs $15

For one child it costs $10

Step-by-step explanation:

So..

One adult = $15

Two children = $20 10×10

= $35

Then..

Two adult = $30 15×15

Three children = $30 10×10×10

= $60

Plz mark brainliest thanks

Will mark brainliest

Answers

Answer:

A and C are the right answers

Step-by-step explanation:

Top row only

3 out of the 12 squares are shaded in therefore 3/12 which you can simplify into 1/4

Left column only

3 out of the 6 squares are shaded in therefore 3/6 which you can simplify into 1/2

I agree I think the correct answers are A and C

help pls!!! im not sure on this

Answers

Answer:

10

Step-by-step explanation:

The answer is x=10 because you subtract both 80 and 40 from 180 using the triangle sum theorem with than remaining you should have 60. 60= 6x you divide that answer to get 10

You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation. (3 points)

Answers

Answer:

The answer is 10.89. I dont know how to solve it but my dad told me this is the answer!

Step-by-step explanation:

Please give me brainliest! UnU

Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21 comic books. What is the ratio of sci-fi novels to comic books?

Answers

Answer:

4:21

Step-by-step explanation:

since she read 4 sci-fi novels and 21 comic books, you put 4:21.

last question on my test! please show some sort of work so i know its correct :) thanks! - dusty.

Answers

Answer:

this was 3 minutes ago... you still need the answer?

Step-by-step explanation:

½×10×8.2 explain with answer​

Answers

41.
Take 10 * 8.2 (Easier this way)
You get 82.
Take 82 *1/2 (or divide by 2)
You get 41.

Answer:

41

Step-by-step explanation:

1/2 x 10 x 8.2

We will convert the decimal to fraction first

1/2 x 10 x 41/5

Then we will reduce the numbers with the greatest common factor (5)

5 x 41/5

We will remove the fives since they are the common factors

And we will remain with the answer 41

plsss help i’ll give brainly...but pls give a correct answer

Answers

Answer:

3

Step-by-step explanation:

Terms are separated by symbols for operations (like plus, minus, multiply, divide.)

So your terms would be

8y

+z

-6

in klm the measure of m=90 the measure of l=68 and mk=2.5 feet. find the length of kl to the nearest tenth of a foot

Answers

Answer:

2.7

Step-by-step explanation:

Combine like terms: m + 11g - 7g + 7m

Answers

Answer:

4g+8m

Step-by-step explanation:

7m+m=8m 11g-7g=4g

HELLOOOOOooOOOoOooOO
HELP MEEEEEEEEEEEEE

Answers

Answer:

it is axes

Step-by-step explanation:

Answer:

I guess its Axes and coordinate plane

Step-by-step explanation:

Tania earns $16 per hour at the Glendale Florist. She regularly works 40 hours per week.
She is paid time-and-a-half for each hour of overtime work. Last week she worked 43
hours.
7) How much was she paid for her regular hours?
a $600
b. S520
C. S640

Answers

Answer:

$640 is how much she will make in in regular hours.

Step-by-step explanation:

Create an equation from the word problem and solve.

Option A is correct, $640 is the pay for her regular hours.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Tania earns $16 per hour at the Glendale Florist.

She regularly works 40 hours per week.

She is paid time-and-a-half for each hour of overtime work

Last week she worked 43 hours.

We need to find the payment she received for her regular hours.

16h is the expression to find the pay for h hours.

As she work for 40 hours.

Now plug in h as 40.

16×40

$640

Hence, option A is correct, $640 is the pay for her regular hours.

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please i need HELP x+y=15 , x-y=3
and

Answers

Answer:

x=9

y=6

Step-by-step explanation:

x+y=15 .............(i)

x-y=3...........(ii)

Subtracting equation (ii) from equation (i)

or,  x+y -(x-y)=15-3

or,  x+y-x+y=12

or,  2y=12

or,  y=12/2

∴y=6

Now,

       Putting the value of y on equation (i),

or,  x+6=15

or,  x=15-6

∴x=9

Each letter of the word algebra is written on identical slips of paper and placed in a box of a slip of paper selected from the box without looking what is the probability that the slip of paper will not have the letter A on it.

Answers

Answer:

I have no idea sorry

Step-by-step explanation:

Evaluate the expression for the value given.
6a
4a; when a = 2

Answers

Answer:

20

Step-by-step explanation:

6(a)+4(a).

6(2)+4(2)=12+8=20

final answer is 20

the answers are
6a= 12
4a= 8

can y’all please help. I will send points if you want me to.

Answers

Answer:

the third one has a 2 acute angles 2 abuse angles and the x value is 110

Step-by-step explanation

the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle

I need help on this pls

Answers

Answer:

Area= 56 cm²

Step-by-step explanation:

Figure given is a rhombus

Area= 1/2*d1*d2

Which expression is equivalent to -3(1 - y) ?
0-31 - 3y
0-32 + 3y
0-32 - 4
0 -3.2 + y

Answers

Answer:

Whichever one equals 3y - 3

Step-by-step explanation:

I went through your answer choices and they don't really make sense. But if one of these equals 3y-3 then that's your answer.

please help will ill brainiest if correct

Answers

Answer:

The answer would be -4.

Step-by-step explanation:

yeah I didn't do too good on that unit with the integers kind of thing so, yeah....

how I did this question: imagine if you owe someone $9 but you only have $5 so you give them those $5 so now you only owe them for dollars.

What is the slope of the line that passes through the points (5,−4) and (7, -4) ?Write your answer in simplest form.

Answers

Answer:

Undefined

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

Slope of the line

[tex] =\frac{ - 4 - ( - 4)}{7 - 5} \\ =\frac{ - 4 + 4}{2} \\ = \frac{0}{2} \\ (undefined)[/tex]

Thus, the slope of the line is undefined.

(Since 2 cannot be divided by zero)

Notice that the two coordinates have the same y- coordinate of -4. This means that the line is a vertical line. Vertical lines have undefined slopes.

Pls answer asap, brainilest will be given to best answer, and best explanation.

Answers

Answer:

it should be D

Step-by-step explanation:

because A is going at y=30x, and B is slower than it. So there's only one choice that matches. which is y=15x

simplify 6 radical 27​

Answers

The result can be shown in multiple forms.
Exact Form:
√2
—
3
Decimal Form:
0.47140452

pls help meeeee....zzzz

Answers

Answer:

I think its a or b? But I think mostly a, sorry if I'm wrong

The answer is D:3,4,5

Find the value of x.

Answers

X=4 (Option B)
The “c” is equal to 4sq.root2. In the rules and the diagram attached, the “c” side has the root 2 attached to the a, so the answer is 4.

...................................................

Answers

Answer:

Brand A

Hope this helped!

Step-by-step explanation:

I have one question, i'll give ya'll 50 points!

Answers

Answer:

it's A you're right
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