a circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle

3pi inches

2pi inches

pi inches

6pi inches

A Circle Has A Radius Of 6 Inches And A Central Angle Of 60. What Is The Measure Of The Arc Length Associated

Answers

Answer 1

Answer:

Option B. 2π inches

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 6 in

Centre angle (θ) = 60 °

Length of arc (L) =?

The length of arc can be obtained as follow:

L = 2πr × (θ/360°)

L = 2 × 6 × π × (60/360)

L = 12π × 1/6

L = 2π in

Thus, the length of the arc is 2π in.


Related Questions

The formula for the area of a triangle is A=12bh. Which equation shows the formula solved for h?

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Answer:

h=1/2Ab

Step-by-step explanation:

plz help lol i’m stuck

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Answer:

the length of arc=

[tex]2\pi \times 6 \times \frac{60}{360} \\ 2\pi[/tex]km

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I think that A) is 16
and that B) is 27.8

Answer:

side=8 unit

Area=777 unit^2

SEE IMAGE FOR SOLUTION

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Have a great day

Beth and Amy's tennis coach is picking 2 athletes from the 10 on the tennis team to speak at an assembly. What is the probability the coach will pick Beth and Amy?

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Answer:

Is it beth AND amy or Beth OR Amy?

The surveyor walked 120 ft away from one of the sensors so that her walking path made a 90 degree angle with the width of the lake when she stop she measured the lake when she stopped she measured the angle between her lines of sight to both sensors and it was 70 degrees

Answers

Therefore ,the answer to the above trigonometry issue is therefore that the river is 70 feet wide.

What is trigonometry?

The study of the connections between the angles and sides of triangles is known as trigonometry. Due to the fact that each straight-sided figure may be reduced to a collection of triangles, trigonometry is commonly utilized in geometry. There are a mind-boggling number of connections between trigonometry and other branches of mathematics, especially algebra, real or complex, integrals, logarithms, and infinite series.

Here,

Figure depicts a right triangle which, in relation to angle, its next side has length d or its wrong side is equal to the river's width, y. As a result,

tanθ= d/ y

=> y=dtanθ

=> y = (100m)tan(35.00)=70ft

The river measures 70 feet in width.

As a result, the trigonometry problem's answer indicates that the river's width is 70 feet.

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I keep getting this question wrong. Anyone can help me answer what the answer is?

Answers

I believe it is 4 i hope this is right :/
It’s 4 I did this test hope I helped

2) Ms. Van is going to build a small rectangular garden in a part of her yard. The
garden's length will be four meters longer than three times the width of the garden.
Write a polynomial expression to represent the area of the garden.

Answers

Answer:

Area = 3x^2 + 4x

Step-by-step explanation:

Givens

W = x

L = 3x + 4

Formula

Area = L * W

Solution

Area = x(3x + 4)

Area = 3x^2 + 4x

Study the example showing a function. Then solve
problems 1-6.
Example
The table and graph show the
relationship between the length
of the sides of a square, in feet, and
the perimeter of the square in feet.
Side Length (input) 1 2 3 4 S
Perimeter (output) 4
812 16 20
The relationship is a function because
there is only one output value for
each input value.
Perimeter (output)
20
18
16
14
12
10
8
6
4
2
Perimeters of Squares
0 1 2 3 4 5 6 7 8 9
Side Length (input)
1 Describe the relationship between the input and output
values in the example.
2 Can you represent the function in the example with an
equation? If so, what equation can you write? If not,
why not?
Vocabulary
function a rule that

Answers

The relationship between the input  and output  is that the perimeter of a square is always equal to four times the length of one of its sides.

What is the perimeter of square?

The perimeter of a square is the total distance around the outside of the square. It is the sum of the lengths of all four sides. To find the perimeter of a square, you simply multiply the length of one side by four, since all sides of a square are equal in length. The formula is P=4S

1.The relationship established between (side length of the square) and output (perimeter of the square) represent that A square's perimeter is always equal to 4 times one of its sides.

2.Yes, the function can be represented with an equation. The equation would be:

Perimeter = 4 × Side Length.

Side Length (input) 1  2  3  4  5

Perimeter (output)  4 8 12 16 20

This equation states that the perimeter of a square is equal to four times the length of one of its sides.

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Write the equation of the line that passes through the points (6, 1) and
(6, -8). Put your answer in fully simplified point-slope form, unless it
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something noteworthy is that the x-coordinate is the same for each point, so Check the picture below.

What is the value of S3= infinity sigma n-1 5(1/3)^n-1

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It’s 48 because if do this then do that you get

Did I divided the polinoms in a correct way?
If I didn't please explain how ​

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Answer:

siesta  bien

Step-by-step explanation:

HELP ME PLS ILL GIVE YOU BRAINLIST

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I don’t know I’m sorry …

Where is quadrant 4?

Answers

The fourth quadrant, often known as Quadrant IV, is the bottom right quadrant. The x-axis in this quadrant is positive, whereas the y-axis is negative.

Two-dimensional Cartesian axes separate the plane into four infinite areas known as quadrants, each of which is bordered by two half-axes. These are frequently numbered 1 through 4.

90° arc; one-fourth of a circle. the region enclosed by such an arc and two sketched radii, one at each extreme. a component of a machine that has a quarter-circle form.

The x- and y-coordinates are both positive in quadrant I.

The x-coordinate is negative and the y-coordinate is positive in quadrant II.

The x- and y-coordinates are positive in quadrant III.

Quadrant IV: The x-coordinate is positive and the y-coordinate is negative.

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The scale on a map of Florida is 2 inches = 50 miles. What is the distance in miles
represented by a length on the map of 7 inches?

Answers

The distance in miles represented by a length on the map of 7 inches is 0.28

What is scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

Given;

The scale of a map says that 2 inches represents 50 miles.

2 inches = 50 miles

1 Mile = 2/50 inches

Hence, 7 Mile = 7 * 2/50 inches

7 Mile = 14/50 inches

7 Mile = 0.28 inches

Therefore, the scale factor of 7miles in the map will be 0.28inches

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Is algebra.
PLEASE HELP NO LINKS OR FILES.
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Answers

Question 3 is B

Question 4 is B

Answer:

for question 3 - b

for question 4- b

Step-by-step explanation:

Can some kind person help me on this assignment pls

Answers

Answer:

D, B

Step-by-step explanation:

Question 8.

The shaded area should be on or below the line [tex]y=\frac{5}{2}x-2[/tex] AND below but not on the line [tex]y=\frac{1}{2}x+2[/tex]

Question 9.

See the attached image.

Shade on or under the line [tex]y=\frac{1}{2}x-1[/tex] AND above but not on the line [tex]y=\frac{3}{2}x+1[/tex].

Determine the slope, x-intercept and y-intercept of the line given by the equation 2x+3y=6

Answers

Answers
Y-intercept = 2
Slope = -2/3x
X-intercept = 3


To make it easier, write the equation in slope-intercept form (y = Mx + b)

1. Subtract 2x on both sides
3y = 6 - 2x

2. Divide both sides by 3 to get y by itself
3y/3 = 6 - 2x/3

3. Simplify
y = 2 - 2/3x

4. Reorder numbers on the right into slope-intercept form
y = -2/3x + 2

5. Using the information, m = slope and b = y-intercept, find the slope and y-intercept.
Since -2/3 = m, the slope is -2/3 and 2 = b, the y-intercept is 2.

5. To find the x-intercept, set y = 0
0 = -2/3x + 2

6. Subtract two on both sides
-2 = -2/3x

7. Multiply both sides by 3 to get rid of the fraction
-6 = -2x

8. Divide by -2 on both sides to find x
X = 3

You buy clothing at a sale. You buy sneakers at 2 3 of their original price of $60, a sweater at 7 10 of its original price of $35, and a jacket at 5 6 of its original price of $45. Answer each question and show all your work. How much money did you spend

Answers

We spent a total of 40.2 + 24.5+ 37.8 = $102.50

Explain about the fractions?

A fraction is a metric unit for describing a piece or component of a whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator.

Fractions are used to represent the parts of an entity or collection of entities. The components of a fraction are two. The figure at the top of the line is the numerator. It provides information on how many equal sections from the total or collection were taken. The number that appears below the line is the denominator.

We multiply the initial price by the fractions' decimal conversions to determine how much we spent. The quantities are then combined.

You purchased sneakers for $60 and paid 2/3 of that amount, or $0.6666, for a total of $40.20, saving $19.80.

Sweater costs $35 and you paid $7.50 for it, saving you $10.50. 35(0.7)=$24.50.

You paid $45 for a jacket, and since 5/6=0.8333, 45(0.84)=$37.80, you made a $7.20 profit.

We spent a total of 40.2 + 24.5+ 37.8 = $102.50

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An object has a mass of 440 kg and a volume of 11 m3.
Find the density of the object in kg/m3.

Answers

Answer:

40 kg/m³

Step-by-step explanation:

To find the density divide the mass by the volume

440kg / 11 m³ = 40 kg/m³

Answer:

40 Kg/m cube

Step-by-step explanation:

Use the distributive property to fill in the blanks below. Pls help me :| This is for a grade and today for me is the last day of school :|

Answers

Answer:8 in each box

Step-by-step explanation:

U are multiplying 2 and 7 each by 8

4 Select the correct answer. Annabelle wanted to find out how many people in her neighborhood were going to the rock concert over the weekend. She asked a couple of her immediate neighbors. On the basis of the answers she got, she drew her conclusion. What kind of statistical investigation did Annabelle perform

Answers

Annabelle collected data from a sample of people that were convenient for her to access, such as her immediate neighbors, and used this to draw her conclusion.

Annabelle performed a convenience sample investigation, which is a type of statistical investigation. This involves collecting data from a sample of people that are convenient for the researcher to access. In this case, Annabelle asked a couple of her immediate neighbors to find out how many people in her neighborhood were going to the rock concert..

Convenience sampling is useful when time or resources are limited, however the results may not be representative of the larger population. Therefore, it is important to consider the limitations of the sample when drawing conclusions. For example, Annabelle may not have considered that the neighbors she asked may not be representative of the whole neighborhood.

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Given the following system of equations, solve for 'X', 'y' and 'z.
2x - 32= -18
-4y + 2z = 4
3x + 10y= 1

Answers

x=7, y=-2, and z=-2

just trust me on it

2x-32=-18 2x-=18+32 2x=14 x=7
-4y+2z=4 2z=4-4y z=2-2y
3x+10y=1 3x= 1-10y x= 1/3-10/3y

Ellis put 57 equal size bags of potatoes onto the shelf at the grocery store. The total weight was 60.42 pounds. What is the weight of each bag of potatoes

Answers

Answer: 1.06 pounds per bag of potatoes

Step-by-step explanation:

Total weight = 60.42

# of bags of potatoes = 57

60.42/57 = 1.06 pounds per bag

... due tomorrow... help pls

Answers

588(pie) cm^2 - answer

7x -2y =-10 slope interceept form

Answers

Answer:

y = 7/2x + 5

Step-by-step explanation:

The slope intercept form is: y = mx + b

Our equation is

7x -2y = -10

We subtract 7x both sides

-2y = -7x - 10

Divided by -2, both sides

y = 7/2x + 5

So, the answer is y = 7/2x + 5

If 1 and -2 are zeroes of x^2+ax+b=0. Find a and b. First and correct answer will be marked brainliest.

Answers

Answer:

a = 1, b = -2

Step-by-step explanation:

You are given values of x are 1 and 2 when the equation is 0

To solve the problem substitute the values of x into the equation

For x =1

1^2 + a(1) + b = 0

1 + a + b = 0

a+b = -1(call this equation i)

For x = -2

-2^2 + a(-2) + b = 0

4 - 2a + b = 0

-2a + b = -4 (call this equation ii)

Now solve equation i and ii simultaneously to get values of a and b.

a+b = -1

-2a+b = -4

By elimination method (also you can solve by substitution method) subtract equation ii from equation i, we get

3a = 3

Divide 3 both sides, you get

a = 1

Take the value of a above substitute it into either equation i or ii to get the value of b

Here i considered equation i

a + b = -1

1 + b = - 1

b = - 1 - 1

b = -2

Therefore a = 1, b = -2

Why 1 [infinity] is not defined?

Answers

1 [infinity] is not defined because infinity is an abstract concept and cannot be used in the same way as numeric values. Infinity is not a number or a numerical value, and therefore it cannot be used in equations or arithmetic operations.

1. Infinity is an abstract concept and cannot be used in the same way as numeric values.

2. Infinity is not a number or a numerical value.

3. Therefore, it cannot be used in equations or arithmetic operations.

4. Therefore, 1 [infinity] is not defined.

1 [infinity] is not defined because infinity is an abstract concept and cannot be used in the same way as numeric values. Infinity is not a number or a numerical value, and therefore it cannot be used in equations or arithmetic operations.

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The population for Rainbow City is 36,000. The growth rate is 3%. About how many people will it have after 5 years

Answers

Answer:

41,500 people

Step-by-step explanation:

First you find 3% of 36,000= 1,080

Then you do 1080 x 5= 4,500

Then finally do 36,000 + 4,500= 41,500

What is the midpoint formula of quadratic equation?

Answers

The midpoint formula of a quadratic equation is given by: x = -b/(2a), where a, b and c are the coefficients of the quadratic equation ax2 + bx + c = 0.

This formula is used to determine the midpoint of the roots of a quadratic equation. It works by taking the coefficients of the equation and plugging them into the formula. The result of the formula will be the x-coordinate of the midpoint of the two roots.

This formula is useful when solving quadratic equations, because it allows us to quickly find the midpoint of the two roots without having to solve for both roots first. It is also useful for graphing the quadratic equation, as it reveals the location of the vertex of the parabola. Knowing the midpoint of the two roots also makes it easier to determine the nature of the roots, whether they are real or imaginary.

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PLEASEEE ANSWERRR ASAP

If point A(-3, 9) is dilated by a scale factor of 6 with the origin as the center of
dilation, what would be the coordinates of the new image at point A'?

Answers

Answer:

A' = (-18, 54)

Step-by-step explanation:

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