An intercepted arc has a length of 19 yards. If the radius is 4 yards, find the measure of the central angle in radians and degrees.

Answers

Answer 1

The length of an arc is the distance between the endpoints of the arc.

The central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]

The given parameters are:

[tex]\mathbf{l = 19yd}[/tex] --- length of the arc

[tex]\mathbf{r = 4}[/tex] -- radius of the circle

The length of an arc is calculated as:

[tex]\mathbf{l =r\theta}[/tex]

Divide both sides by r

[tex]\mathbf{\theta = \frac lr}[/tex]

Substitute known values

[tex]\mathbf{\theta = \frac{19}4}[/tex]

[tex]\mathbf{\theta = 4.75\ radians}[/tex]

Convert to degrees as follows:

[tex]\mathbf{\theta = 4.75 \times \frac{180}{\pi}}[/tex]

[tex]\mathbf{\theta = 4.75 \times \frac{180}{3.142}}[/tex]

[tex]\mathbf{\theta = 272.16^o}[/tex]

Hence, the central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]

Read more about length of arcs at:

https://brainly.com/question/15832640


Related Questions

Will mark Brianliest !!!!!!! Please helppp!!!!!!!!!! Show your work correctly !!!!!!!!!!!!

Answers

Answer: 1st one

two-base angle are equal

let take a base angle as x

2x + 98 = 1802x = 180 - 98x = 2/2x = 1

please find solution to the equation

Answers

Answer:

n = 3/25

Step-by-step explanation:

5(n-1/10)=1/2

5n = 6/10

n = 3/25

Answer:

Step-by-step explanation:

lets remove the parenthesis

5n- 5/10=1/2

5n=1/2+1/2

5n=1

n=1/5

identify like terms 2d 5f 2g 7 3g g

Answers

Answer:

Step-by-step explanation:

The degrees of the terms in the order given are 2, 4, 1, 3, 0. The second-highest of these numbers is 3, and the corresponding term is ...

 B: -g^3

(3g+5)(2g-7)

(3g+5)(2g-7)=6g²-21g+10g-35 = 6g²-11g-35

give answer fast...
it's very important for me....
then I give you 20 thanks...(◍•ᴗ•◍)❤​

Answers

Answer:

I have the answer

Step-by-step explanation:

Answer:

the required answer is 18

Step-by-step explanation:

see the solution in attached picture

i hope u got it

A lake is 3/4 mile wide. Chandler sailed 4/5the width of the lake How far did Chandler sail ​

Answers

Answer:

1/6

Step-by-step explanation:

Chandler sailed 1/6 of the lake

Answer:

About .6 or 3/5 simplified

Step-by-step explanation:

I don’t think you really see it but if you can please help me I’m to lazy

Answers

Answer:

D

Step-by-step explanation:

c = 41.21 - 0.41L

hope this helps <3

sidh is making fruit salad. His recipe calls for pound of watermelon. He wants
to make of the amount of fruit salad in the recipe. How much watermelon
does Sidh need?
more than pound
less than 2 pound
exactly 1 pound
exactly pound
My Progress >

Answers

Answer:

it will be 3/4

Which equation requires the division property of equality to be solved? 201.6 = 11.2 f 35.4 = z divided by 3.1 StartFraction t Over 3.2 EndFraction = 15.1 201.6 = 11.2 + c

Answers

Answer:

c and a

Step-by-step explanation:

Answer:

A for a Edge ppl out dere

Step-by-step explanation:

im right

Javier worked 25 hours the first week then 33 hours the second week. What is the percent increase?

Answers

Answer:

theres no percent to start off with so this question doesnt make sense unless the answer is 8

Step-by-step explanation:

Answer:

33% maybe ???

Step-by-step explanation:

Which math expression means "the difference of 40 and 12"?
O A. 40.12
O B. 40 + 12
O C. 40 - 12
O D. 40 = 12

Answers

Answer:

Step-by-step explanation:

is C

40-12

Answer:

O C. 40 - 12

difference means the range between the two given values

ABCD is a parallelogram. AB = x + 16, AD = 4y – 4, CD = 2x + 8. If the perimeter of ▱ABCD is 80, find the value of y.

Answers

Answer:

Coronavirusss

Step-by-step explanation:

Stay at home :D

2019 like “I live my life in fast forward, but they haters wanna rewind me”

Answers

Is this a question, or-

Um how is this related to homework?

When 80 is decreased by 15%, the new number is

Answers

Answer:68

Step-by-step explanation:

Percentage decrease = 15% × 80

New value =

80 - Percentage decrease =

80 - (15% × 80) =

80 - 15% × 80 =

(1 - 15%) × 80 =

(100% - 15%) × 80 =

85% × 80 =

85 ÷ 100 × 80 =

85 × 80 ÷ 100 =

6,800 ÷ 100 =

68

select the equation and the solution for the problem. let ( X ) represent the unknown number. a total of 48people in a sports team are riding 6 vans. how many people are riding in each van is carrying the same number of people.
(A) 48x = 6 ( x = 1/8
(B) 6x = 48 ( x = 8
(C) x + 6 = 48 ( x = 42)
(D) x - 6 = 48 ( x = 54)

Answers

Answer:

B

Step-by-step explanation:

whats the area of 8ft, 6ft and 2ft?

Answers

Answer:

96

Step-by-step explanation:

8x6=48

48x2=96

Find the HCF of 32 and 50 using prime factors

Answers

Answer:

It’s 32

Step-by-step explanation:

ayo I need some more help lol sorry!!!

Answers

Answer:

B,C, and D.

Step-by-step explanation:

sorry it took forever to get a response

A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation basketball hoop? (Use 3.14 for .)
A.
56.52 in
B.
254.34 in
C.
113.04 in
D.
1,017.36 in

Answers

Answer:

c

Step-by-step explanation:

What is the LCM of 2 and 8

Answers

Answer:

its 8

Step-by-step explanation:

Answer:

nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh

Step-by-step explanation:

How do i multiply 13.02 x 5

Answers

The answer is 65.1 thanks

Can someone help me ASAP !

Which fraction and decimal forms match the long division problem?
15) 7.000
6 0
1 00
90
100
90
10

Answers

Answer:

It has to be either A or B. Im sorry Im not completely sure which one it is. I believe it is B. im sorry of im incorrect.

Answer: c

Step-by-step explanation:

Work out
2/5
of 60
Pls work this out. It’s urgent!

Answers

answer is 24.

firsty remember OF= MULTIPLY

NOW we can calculate this easily

here the equation is given

2/5×60. u can solve this in given ways below….…..

1……….

u can simply divided 60 by 5. which is equal to 12. and now the equation remain 2×12 . & it's equal to 24. which is our answer.

2……….

u can write 2/5 in decimals by dividing this . so 2/5 is equal to 0.4

and now u r left with 0.4×60

so after multiplying it comes 24.0

and that is equal to 24. (because after decimal zeros has no value)

3……….

and u also can multiply 2 by 60 . it occurs 120 then devide it by 5 . the answer comes 24.

What is the equation of the line that is parallel to the
given line and passes through the point (12, -2)?

Answers

Answer:

';

lk;j

Step-by-step explanation:

uhh

cindy bought a new jacket. Jill bought a jacket that costs 3 times as much as Cindy. Altogether their jackets cost 300$. What equation can be used to represent the problem and how much was each of their jackets?

Answers

Answer:

x + 3x = $400

the jacket cost price of Cindy nd Jill is $100 and $300 respectively

Step-by-step explanation:

The computation is shown below:

Here we assume the cindy be x

So the Jill be 3x

Now the equation is

x + 3x = $400

4x = $400

x = $100

So the Cindy jacket cost is $100

And, the Jill jacket cost would be

= 3x

= 3(100)

= $300

Hence, the jacket cost price of Cindy nd Jill is $100 and $300 respectively

In a right triangle, the length of one leg is 3 cm. The length of the other leg is 2 cm. What is the length of the hypotenuse?

Answers

Answer:

A

Step-by-step explanation:

hypotenuse is

a squared+ b squared= c squared

3 squared +2 squared=6 squared

so the actual answer is the square root of 6!

pls mark me as brainliest!!<3

Find the distance between a and b

Answers

THE DISTANCE IS 7 UNITS

please help with this.

Answers

9514 1404 393

Answer:

  d.  The triangles are not similar

Step-by-step explanation:

The angle between the given sides is the same, so we need to compare the side ratios. In ΔQRS, we have ...

  QR/RS = 4/15

In ΔVTU, we have ...

  VT/TU = 8/32 = 1/4 ≠ 4/15

The triangles are not similar because corresponding sides are not proportional.

Billy has 5 1/4 yards of wire if he uses for is 4 7/8 yards to make a fence how much would he have left​

Answers

Answer: 3/8
Reasoning: 5.25 – 4.875 = 0.375, transferred back into a fraction would be 3/8

plz i want the answer

Answers

Answer:

it's answer is E. S = (t² - 2p) / a

Step-by-step explanation:

As

t² = 2p + as

Making s subject then

as = t² - 2p

s =( t² - 2p) / a

Hope it will help :)

1. a rectangular room measures 10 feet by 12 feet. What is the area of the room?

2. What is the area of a rectangle with a base of 6 inches and height of 10 inches?

3. Travis is planting a rectangular garden that is 5 feet by 12 feet. One bag of soul covers 6 square feet. How many bags of soil does he need to cover the whole garden?

Answers

Answer:

1880... good luck.. have a grate day

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