What is the circumference of a circle with a diameter of 8 inches?

a 12.56
b 25.12
c 50.24
d 200.96

Answers

Answer 1
Circle:

A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.

Circumference of Circle:

The circumference of a circle is the product of pi and length of the diameter of a circle. Mathematically;

[tex]\longrightarrow \tt{Circumference_{(circle)} = \pi{D}}[/tex]

Here, D is the diameter of the circle or distance between the circle.

Elucidation:

We are asked to find the circumference of the circle if the diameter is 8 inches.

We know that, The circumference of a circle is the product of pi and length of the diameter of a circle. Therefore;

[tex]\implies \tt{Circumference_{(circle)} = \pi{D}}[/tex]

[tex]\implies \tt{Circumference_{(circle)} = 3.14 \times 8}[/tex]

[tex]\implies \boxed{\pmb{\tt{Circumference_{(circle)} = 25.12}}}[/tex]

Hence, the circumference of the circle is 25.12 inches. So option (B) is correct.

Answer 2

Answer:

Circumference of circle = 25.12 inchesThus Option B is correct .

Step-by-step explanation:

In the question we are given that diameter of circle is of 8 inches . And we have asked to find the circumference of the circle .

For finding circumference of circle we must have to know that what is the formula for finding circumference of circle. So :

[tex] \quad \quad \: \red{\underline{\pink{ \boxed{ \frak{Circumference \: of \: Circle =2 \pi r }}}}}[/tex]

Where ,

π refers to 3.14

r refers to radius of circle

Solution : -

As in the question we are given length of diameter . So for finding circumference we need to find the radius of circle .

We know that diameter of circle is two times its radius ,

[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]

So for radius we are dividing both side with 2 :

[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]

We get that ,

[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]

Therefore , we can say that radius of circle is half of its diameter .

Now using this , firstly we are finding radius of circle . So :

[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{8}{2} \: \: inches}}[/tex]

Therefore , radius of circle is 4 inches .

Now , we are moving towards our final solution .

So ,

[tex] \longmapsto \quad Circumference_ { (Circle)} =2 \times 3.14 \times 4 [/tex]

Multiplying 2 with 3.14 :

[tex]\longrightarrow \quad Circumference_ { (Circle)} = 6.28 \times 4 [/tex]

Multiplying 4 and 6.28 :

[tex]\longrightarrow \quad \purple{{\boxed{\frak{Circumference_ { (Circle)} = 25.12\: inches }}}}[/tex]

Therefore , circumference of circle having diameter 8 inches is 25.12 inches and hence option b is correct .

#Keep Learning

Related Questions

When f = 2 and g = 8, n = 4. if n varies jointly with f and g, what is the constant of variation? one-fourth one-half 4 64

Answers

The value of the constant of variation is one-fourth. Then the correct option is A.

What is the constant of variation?

The term "constant of variation" refers to the fact that the relationship between variables remains constant.

The formula will be

y = kx

where k is the variation constant.

When f = 2 and g = 8, n = 4. if n varies jointly with f and g, then the equation will be

n = kgf

Then the value of k will be

4 = (2)(8)k

k = 1/4

More about the constant of variation link is given below.

https://brainly.com/question/14254277

Answer:

Keep it simple. Answer: A

Step-by-step explanation:

Late night math for you guys to solve

Answers

Length: 6
Width: 10 + 2x

Length: 3
Width: 10 + 4x

Length: 1
Width: 30 + 12x

Noah enjoys building towers in the shape of right rectangular prisms. Noah built a right rectangular prism, the area of
the base is __ square centimeters and the height is __ centimeters.

Answers

Answer:

do you have a picture so I can see more information

Jose is in 8th grade, and he is researching his favorite colleges. He notices that the current cost of tuition, books, and fees at one 4-year college is $14,500 per year. What will be the total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years?

Question 10 options:

A. $56,000

B. $29,000

C. $60,000

D. $58,000

Answers

The total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.

What is the total cost of attending the college for four years?

Multipiciation is the process of combining numbers or vectors together in order to determine their product. Multiplication is represented with this sign: x.

The total cost of attending the college for four years = cost per year x total number of years

$14,500 x 4 = $58,000

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Solve for X please answer

Answers

Answer:

x=1.082682

Step-by-step explanation:

find the area of the equilateral triangle ​

Answers

Answer:

3.90 sq cm

Step-by-step explanation:

[tex]A_{equilateral\: \triangle} = \frac{ \sqrt{3} }{4} \times {(side)}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times {(3)}^{2} \\ \\ = \frac{9 \sqrt{3} }{4} \\ \\ = 3.89711432 \: {cm}^{2} \\ \\ \approx \: 3.90 \: {cm}^{2} [/tex]

EfsrcegcrffdfAbjhbhjgg

Answers

Answer:

what do you need help with

Step-by-step explanation:

Answer:

SAME

Step-by-step explanation:

I am so happy someone else goes through this! I'm SO happy I'm not alone.

A rectangle is 28 cm long and 9 cm wide what is thr perimeter of the rectangle pls hurry

Answers

Answer:

Perimeter of rectangle = 74 cm

Step-by-step explanation:

In the question we are given with ,

Length of rectangle = 28 cm

Width of rectangle = 9 cm

And we are asked to find the perimeter of rectangle . As we know that ,

[tex] \red {\boxed{\rm{Perimeter \: of \: rectangle = 2 ( L + W ) }}}[/tex]

Where ,

L = Length of rectangleW = Width of rectangle

Substituting values of length and width in formula :

[tex] \longmapsto \: 2(28 + 9)[/tex]

Step 1 : Solving the parenthesis :

[tex] \longmapsto \: 2(37)[/tex]

Step 2 : Multiplying 2 and 37 :

[tex] \longmapsto \: \red{ \boxed{74 \: cm}}[/tex]

Therefore , perimeter of rectangle having length 28 cm and width 9 cm is 74 cm .

#Keep Learning

How do you write 7.72 × 10–2 in standard form?

Answers

Answer:

75.2

Step-by-step explanation:

You first multiply 7.72 by 10, which is equal to 77.2. Now it's basic math; subtract 77.2 and 2, it equals to 75.2.

Answer:

0.0772

Step-by-step explanation:

What is the value of log subscript 0.5 baseline 16? –4.00 –0.25 1.51 2.41

Answers

Answer:

The correct option is a.

The given expression is,Use property of logarithm

The value of log(0.5) is -0.30103.

The value of given expression is -4.81648.

If the final answer appromatted to preceding integer, then the correct option is -4.00.Step-by-step explanation:

The value of the [tex]log_{0.5}[/tex] (16) will be -4.00 so the correct option will be (A).

What is a logarithm?

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

A logarithm is a power to which a number must be raised in order to get some other number.

A logarithm is useful to find out the values on which power has a variable.

In another word, a logarithm is a different way to denote any number.

If you want to write 1 in logarithm then it will be log(base).

[tex]log_{a}[/tex] (x) = b ⇒ [tex]a^{b}[/tex] = x.

Let's say the given number is x then

x = [tex]log_{0.5}[/tex] (16)

[tex]0.5^{x}[/tex] = 16

Take log by both sides

Log[tex]0.5^{x}[/tex] = log 16

By log property

x log 0.5 = log 16

x = -4.00 hence, the correct answer to the given question will be -4.00.

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For what values of x is the inequality 2/3 + x/3 >1 true?

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{x}{3}[/tex] > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

¿Alguien me ayuda con estas ecuaciones? :(​

Answers

Answer:

see below

Step-by-step explanation:

7x-12=30

7x=30-+12

x=42/7

x=6

5x-18=77

5x=77+18

x=95/5

x=19

8x+12=36

8x=36-12

x=24/8

x=3

x+45=72

x=72-45

x=27

x+27=82

x=82-27

x=55

x-13=66

x=66+13

x=79

the sum of two integers always greater than the difference between them? Why or why not? Give examples

Answers

The is no because the sum of two integers is always greater than their difference.
False

Answer:

Yes, because the gap is one less than the bigger of the two integers, plus you are adding a little bit more to the bigger integer so the sum will always be bigger than the difference.

-1.9y=2.47
rational equations!
please helP!

Answers

Answer: y = -1.3

Step-by-step explanation:

The zeros of a quartic polynomial function are 2, -2, 4, and -4. Use the zeros to construct a possible sketch of the function on the set of axes

Answers

The sketch of the function on the set of axes is given below:

What are Zeros?

The zero of any real-, complex-, or generally vector-valued function f, is a member x of the domain of function such that f(x)=0 at x; x is the solution to the equation f(x) = 0.

Finding the function:

As we have the zeros 2,-2,4,-4

The function can be:

[tex]f(x)=(x-2)(x+2)(x-4)(x+4)\\f(x)=(x^2-4)(x^2-16)\\f(x)=x^4-20x^2+64[/tex]

The sketch using a graphing calculator:

Learn more about Zeros:

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Algebra Find the value of each variable.
pls help

Answers

You forgot the a.

Remember the flat angle is 180. So it’s

2a+24+a=180
3a+24=180
3a = 156
a= 52

What is the real part of the difference? what is the imaginary part of the difference? i

Answers

In the difference 4-10i, the real part of the difference is 4 and the imaginary part of the difference is -10.

What is complex number?

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,

[tex]a+bi[/tex]

Here, (a) is the real part while (b) is the imaginary part.

The difference of two number is given as,

[tex]4-10i[/tex]

Compare it with the real number form, we get,

[tex]a=4\\b=-10[/tex]

Thus, in the difference 4-10i, the real part of the difference is 4 and the imaginary part of the difference is -10.

Learn more about the complex number here;

https://brainly.com/question/2218826

Answer:

4 and then -10i

Step-by-step explanation:

Found correct in Edge.

Gavin invested $100 into a CD account. The account grow at a rate of 5%
each year. What type of equation do this scenario represent?

Answers

Answer: y=5x+100

Step-by-step explanation:

the y intercept is the 100$ invested into the account, and the rate of change is 5

HELP NEEDED NOW/ASAP PLS NO LINKS AND NO JOCKING.
AND PLS SHOW UR WORK IF POSSIBLE

what is the simplified form of the product \sqrt(3)*HELP NEEDED NOW/ASAP PLS NO LINKS AND NO JOCKING.
AND PLS SHOW UR WORK IF POSSIBLE

what is the simplified form of the product \sqrt(3)*8\sqrt(5)

A. 9\sqrt(3)

B. 24

C. 72

D. 8\sqrt(3)

Answers

Answer: Below

Step-by-step explanation:

So let's actually make a readable expression first.

[tex]\frac{8\sqrt{3} }{\sqrt{5} }[/tex]

We first want to rationalize denominators (turning the denominator into an integer),so multiply both the numerator and denominator by sqrt(5). This method is called the big one, and doesn't change an expression since sqrt(5)/sqrt(5) = 1.

[tex]\frac{8\sqrt{3} }{\sqrt{5} } * \frac{\sqrt{5} }{\sqrt{5} } = \frac{8\sqrt{3}\sqrt{5} }{5} = \frac{8\sqrt{15} }{5 }[/tex]

This is our simplified equation.

9. What is the volume of the triangular prism
below?
5cm
3cm
4cm
3cm

Answers

Answer:

where is the prism? did u attach a photo of it

Reggie writes the expression m + 8 × (2/3). Which expression is equivalent to the one Reggie writes?

Answers

Answer:

A

Step-by-step explanation:

A)(m+8)(2 ÷3)

Because 2/3 is just 2 divided by 3

Brainliest please?

Solve for X question 14

Answers

Answer:

x=2

Step-by-step explanation:

hope this helps

not sure if im right <3

A quadratic equation of the form 0=ax2 bx c has a discriminant value of -16. how many real number solutions does the equation have?

Answers

The given quadratic equation has no real solutions.

Given quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

What does the discriminant of a quadratic equation tell?

The discriminant(D) of a quadratic equation tells about the nature of roots.

If [tex]D > 0[/tex], the roots of the quadratic equation will be real and distinct.

If [tex]D=0[/tex], the roots of the quadratic equation will be real and equal.

If [tex]D < 0[/tex],  the roots of the quadratic equation will be imaginary.

Given that the quadratic [tex]ax^2+bx+c=0[/tex] has a discriminant value of -16.

[tex]D=-16 < 0[/tex]

So, the roots of the given quadratic equation will be imaginary.

So, the given quadratic equation has zero real solutions.

Hence, the given quadratic equation has no real solutions.

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You flip an unfairly weighted coin 4 times. If the probability of getting a tail is 0. 38.

What is the probability you will get at most 2 tails?

work needed

Answers

Answer:

0.84306608

Step-by-step explanation:

The probability of an event, e, occurring exactly r times over n trials follows the formula

(n combination r) * p^r * q ^ (n-r)

with p being the probability the event will occur and q being the probability the event will not occur.

I assume you have a calculator/can find one online that can do combinations.

Here, we want to figure out if you get:

- 0 tails

- 1 tail

- 2 tails

If you get 3 or 4 tails, we are getting more than the 2 tails desired

For 0 tails:

- p is the probability a tail will occur = 0.38

- we want it to occur 0 times, so r = 0

- q is (1-p) = 1- 0.38 = 0.62

- we have 4 trials, as we flip it 4 times

(n combination r) * p^r * q ^ (n-r) = (4 combination 0) * (0.38) ^0 * (0.62) ^(4-0) = 1 * (0.38) ^0 * (0.62) ^(4-0) = 0.14776336

For 1 tail:

- p = 0.38, q = 0.62 as with 0 tails

- r = 1, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 1) * (0.38) ^1 * (0.62) ^(4-1) = 4* (0.38) ^1 * (0.62) ^(4-1) = 0.36225856

For 2 tails:

- p = 0.38, q = 0.62 as with 0 tails

- r = 2, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 2) * (0.38) ^1 * (0.62) ^(4-2) = 6* (0.38) ^2 * (0.62) ^(4-2) = 0.33304416

add our 3 probabilities together

0.33304416 + 0.36225856 + 0.14776336 = 0.84306608 as our answer

What is the percent of increase from 2.5 to 4?

Answers

Answer:

60%

Step-by-step explanation:

(4-2.5):2.5*100 =

(4:2.5-1)*100 =

160-100 = 60

what is the length of AD and find the measure of angle CAB

Answers

Answer:

AD = 44 and angle CAB = 90 degrees

Step-by-step explanation:

since the shape is a rectangle, all corner angles must be 90 degrees. so CAB is also 90 degrees.

the length of half of BC is 22, so the full length of BC is 44. using symmetry, AD should also be 44.

byebye!<3

The box plot below represents some data set. What is the interquartile range (IQR) of
the data?
-
42
45
48
51
54
57
60

Answers

Answer:

IQR = 5

Step-by-step explanation:

the IQR is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box plot , that is

Q₃ = 51

Q₁ is the value at the left side of the box plot , that is

Q₁ = 46

then

IQR = Q₃ - Q₁ = 51 - 46 = 5


Determine the VOLUME of the solid. Round answer to the nearest hundredth
necessary).
15 in
7 in

Answers

Answer:

V≈1649.34

this is the solution

V=πr2h

3=π·152·7

3≈1649.33614

Quadrilateral PQRS, shown below, is a parallelogram. QS is a diagonal. PQ ║ SR and PS ║ QR.
The measure of ∠PQS is 58° degrees. What is the measure in degrees of ∠QSR?

Answers

Step-by-step explanation:

angle pqs = angle qsr (alternate interior angles are equal in a parallelogram).

thus,

angle qsr = 58 degrees

Answer:

58°

[tex] \: [/tex]

Step-by-step explanation:

As, Quadrilateral PQRS is a parallelogram and PQ ║ SR and PS ║ QR where QS is the transversal

And, it is given that the measure of ∠PQS is 58°.

So,

[tex] \bf \qquad∠QSR = ∠PQS \\ \\ [/tex]

[tex] \bf \qquad \implies∠QSR = 58° \: \: [Alternate \: interior \: angles] \\ \\ [/tex]

Let's know something about Alternate interior angles :

If a transversal intersects two parallel lines, then each pair of alternate interior angle is equal

The measure of angle C is 20.5 angles C and D are complementary angles Find m

Answers

Answer:

69.5 if C and D both add up to 90, M=90 if both angles C and D were complementary to combine to a supplementary.

Step-by-step explanation:

You're trying to find m which is a variable for measurement for the "D" angle.

Info Given:

20.5 for angle C

Unknown for angle D

Both angles are Complementary.

_____________________________________________

I have 2 answers for this (The question was stated unclearly so I have 2 interpretations of this)

1st Answer:

If you're asking to solve for M but the C and D angles add up to 90 then do

90 - 20.5 = 69.5

2nd Answer:

We know that both angles are complementary which are 90-degree angles.

If we combine them then the angles add up to 180.

So C and D add up to form a Supplementary Angle.

20.5+69.5 + m = 180

Then M could possibly be 90.

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