The radius of a circle is 3 inches. What is the length of a 45° arc?

The Radius Of A Circle Is 3 Inches. What Is The Length Of A 45 Arc?

Answers

Answer 1

Answer:

[tex]\frac{3\pi}{4}\:\text{inches}[/tex]

Step-by-step explanation:

The length of an arc is a part of the circle's circumference.

The circumference of a circle is equal to [tex]2\pi r[/tex], where [tex]r[/tex] is the radius of the circle. Therefore, the circumference of the circle is [tex]2\pi(3)=6\pi[/tex].

Since there are 360 degrees in a circle, the length of a 45 degree arc is equal to [tex]\frac{45}{360}[/tex] of the circumference.

Thus, the length of the arc is equal to [tex]\frac{45}{360}\cdot6\pi =\boxed{\frac{3\pi}{4}\:\text{inches}}[/tex].


Related Questions

Can someone please help me with math.

Answers

Answer:

C and A

Step-by-step explanation:

So first, off, to find the length of a line, we can use pythagreons theorm.(A^2+B^2=C^2) The cahnge in x squared and the change in y squared will give us C, which is the line length. You can count the tiles like this:

From the bottom point, lets count up the x coordinates till we hit the x coordinates of the top point. I got 3.

Next is the y coordinates.

When I count up until I reach the top point, I get 7. Lets plug these numbers in:

3^2+7^2=C^2

Use the square root on eahc number except for the unknown(C)

=

9+49=c^2

Add the two numbers together:

=

58=c^2

Take square root:

7.61=c^2

This can just be rounded to 7.6

This looks like C

So that is your first answer.

Next we have a table.

We need to look at the section of people that have both brown hair and eyes.

When I look at the table, I see 30 people whom how both these charcteristics.

When you looka the total people in the bottom right corner, you see that there are 120 people.

We do not even need to calculate percentage.

30 is 1/4 of 120.

What is 1/4 of 100%

25%

So the people with both brown eye/hair color is 25%

THis looks like answer A

I hope this helps! :)

Which of the following is a line segment shown in the drawing?

Answers

I think the question must be which of the following is not a line segment shown in drawing........

Because three of them are and one isn't. If the question is that, then the answer is LJ.

When Avani goes bowling, her scores are normally distributed with a mean of 145 and a standard deviation of 12. Using the empirical rule, determine the interval that would represent the middle 68% of the scores of all the games that Avani bowls.

Answers

Answer:(133,157)

Step-by-step explanation:

Using the empirical rule, the interval that would represent the middle 68% of the scores of all the games that Avani bowls is (133, 157).

What is Empirical Rule?

Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.

Here, the scores of Avani is normally distributed.

Mean, μ = 145

Standard Deviation, σ = 12

By the Empirical rule, about 68% of the data falls within one standard deviation.

That is, in the interval μ ± σ.

Interval is (μ - σ, μ + σ) = (145-12, 145+12) = (133, 157)

Hence the interval is (133, 157).

Learn more about Empirical Rule here :

https://brainly.com/question/30700783

#SPJ2

What is the volume. Round to the nearest hundredth if necessary.

Answers

Answer:

[tex]\pi\cdot25\cdot\frac{12}{3} = 314.1592654[/tex]

Please find the missing side and show your work

Answers

Answer:

13.3041346957 Ft. ( Or 13.30 Ft. )

Step-by-step explanation:

Formula: A^2 + B^2 = C^2

Substitution: 9^2 + 6^2 = 117

√177 = 13.3041346957

13.3041346957 ( Rounded ( Hundredths Place ) = 13.30 Ft .

ASAP

- How did you get the answer
- Will mark brianlist
- 15 points
- Thank u

Answers

Answer:

C this is because your asking people at random. this makes it so the numbers wont be so one sided because if you use any of the other option it favors one team over another

Step-by-step explanation:

Distance = Speed & Time
If I increase speed, but hold time constant what happens to
distance? What is this relationship called?

Answers

The distance will increase, the distance is proportional to speed

formula of circumference of a circle​

Answers

Answer:

C=2πr

Step-by-step explanation:

This is the formula for the circumference of a circle

If this helps please mark as brainliest

Please help. COS (C)=

Answers

Answer:

7/25

Step-by-step explanation:

Answer:

hi nice to meet you

Step-by-step explanation:

7/25 that's all

6x + 12 = -6 (x + 4)​

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]6x + 12 = - 6(x + 4) \\ 6x + 12 = - 6x - 24 \\ 6x + 6x = - 24 - 12 \\ 12x = - 36 \\ x = \frac{ - 36}{12} \\ x = - 3[/tex]

The value of x = - 3

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

0 = 12

Step-by-step explanation:

This is the answer

I am about 50-50% positive UMU

I have no clue and Would like some assistance

Answers

It’s c (good morning)

Can u help me please

Answers

Answer:

the answer is e)6

Step-by-step explanation:

you're welcome

A book sold 42,000 copies in its first month of release. Suppose this represents 9.6 of the number of copies sold to date. How many copies have been sold to date?

Answers

Answer: 437,500 copies

Step-by-step explanation:

42,000 copies were sold in the first month and this is 9.6% of the total that have been sold till date:

To find the total that have been sold till date, assume the amount to be x.

Expression will be:

9.6%x = 42,000

x = 42,000 / 9.6%

x = 42,000 / 0.096

x = 437,500 copies

437,500 copies have been sold to date.

Classify this triangle by its sides.

Answers

Answer:

A. isosceles but not equilateral

Step-by-step explanation:

as we can see with the congruency markings, two sides are equal whereas one is different. this is the definition of isosceles

Answer:

it is an isosceles triangle

Step-by-step explanation:

the triangle has two equal sides thus it is an isosceles triangle

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the values with the statistical measures for these data points.

34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41

46.5
62
34
59
48
60
32
38
upper quartile
arrowRight
maximum
arrowRight
minimum
arrowRight
lower quartile
arrowRight
median
arrowRight

Answers

Answer:

lower quartile - 38

upper quartile - 59

maximum - 62

median - 46.5

minimum - 32

I hope this help. Have a great day!

10 POINTS ONLY ANWSER IF YOU KNOW!!!

a.Function 1
b.Funtion 2
c.The functions have the same slope

Answers

Answer:

Function 1 has a greater slope

Step-by-step explanation:

Answer:

function 1 has a great slope

Babatunde draws a drinking glass on graph paper using the scale shown below. The glass has a length of 888 units in the drawing.
A drinking glass on graph paper. An 8-unit long line is labeled, "height." A 2-unit long scale is labeled, "2.5 centimeters."

Answers

Answer:

Hum ty

Step-by-step explanation:

It’s 65

The approximate number of diameters it takes to wrap around a circle
A) 5

B) 3

C)8

D) 1

E) 10

Need help quick will name anyone braineist
And pls pls pls show work with ur answer! Thank you!

Answers

Answer: three

Step-by-step explanation: I don’t know the steps, but we took a test and I got this one wrong and we had to do test corrections and the answer is three!!

Please helpp

Extra points and brainleist

Answers

Answer:

c

Step-by-step explanation:

Answers are ACD
Because |x|>or=0

A ball is thrown from a height of 49 meters with an initial downward velocity of 2 m/s. The ball's height h (in meters) after t seconds is given by the following.
[tex]h=49-2t-5t^2[/tex]
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answers

A ball is thrown from an initial height of 6 feet with an initial upward velocity of 40ft/s . The ball's height h(in feet) after t seconds is given by the following. h=6+40t-16t^2 Find all values of t for which the ball's height is 28feet. Round your answer(s) to the nearest hundredth.

Can someone help me out my grads are bad

Answers

Answer:

9

Step-by-step explanation:

39 x 39 = 1521

1521 divided by 169

= 9    good luck bro

can someone PLEASE help? only if you know how!

answer has to be in simplest radical form

Answers

Answer:

8

Step-by-step explanation:

The 30-60-90 triangle rule states that the hypotenuse is equal to the short leg times 2. So 4 x 2 = 8.

48 The price of a television was reduced from $250 to $200. By what percentage was the price of the television reduced​

Answers

well the change in price was 50 dollars
Now divide your change in price by the original price
50/250=.2
To get that into a percentage multiply it by 100 and you get 20%
The answer is F

At Lake View Middle School, there are 900 boys. The ratio of boys to girls is 5 to 4. How many girls are there in the school?

Answers

Answer:

320 girls

Step-by-step explanation:

We can make an algebric equation for this:

5x=900

x=180

We are asked to find the girls so we have to multiply the girls ratio by our x value we just found.

4x=4x180=320 girls

Find the value of x.

Answers

Answer:

(B) 18

Step-by-step explanation:

The shape is fliped but when put to the point where the shapes look the same QP is congruent to DE. Shape DEFG is 2 times bigger than shape PQRS. So all the line measures on PQRS are 2 times smaller than those on DEFG. Meaning x or QP is equal to 18 since 36 divided by 2 is 18.

Hope this helped :)

Pattern A and Pattern B both start at 0. Which statement about the patterns is

true?

Answers

Answer:

The pattern that you should pick is B

drag each expression to show whether it is equivalent to 3 time times 9 or to 2x3x9​

Answers

The first and third one goes to the left box and the second and fourth one goes to the right box

What is the measure of angle U?

Answers

I think it’s A or D not sure. Hope I helped.

If 5 people have 8 1/2 pounds of cherries equally, how many pounds of cherries does each person get?

Answers

Answer : 1.7 pounds

Step-by-step explanation:

8 1/2 / 5 = 1.7

Answer : 1.7 poundsStep-by-step explanation:8 1/2 / 5 = 1.7

Do any of you know any written answers to the Probability Unit Test for 7th grade? I need a little help!

Answers

All tests across the world are different even if they're the same subject and stuff. I think it's easier for you to study, so if you have any questions about them please post them on Brainly!

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