Kiran cuts out a square piece of paper with side length 6 inches. Mai cuts out a paper sector of a circle with radius 6 inches, and calculates the arc length to be inches. Whose paper is larger? Explain or show your reasoning.

Answers

Answer 1
Arc length doesn’t matter. Area does.

Area of a square: bh = 6x6 = 36 inches squared

Area of a circle: 3.14(r^2) = 3.14(36)= 113 inches squared

Mai’s paper is much larger.
Answer 2

A circle is a curve sketched out by a point moving in a plane. The area of the circular paper is more than the area of the square.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The arc length of radius 6 inches is equal to,

Length of the Arc of a quarter = 2πr×(1/4) = 2×π×6×0.25 =0.9448 inches

The area of the circular paper = πr² = π×6×6 = 113.097²

The area of the square with a side of 6 inches = 36 in²

Therefore, the area of the circular paper is more than the area of the square.

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ2


Related Questions

If Circle A has a radius that is five more than twice as long as the radius of circle B and the sum of the diameters of the circle is 88 inches, find the area and circumference of circle A

Answers

Answer:

Circumference of a circle A = [tex]389.7 \,\,inches[/tex]

Area of a circle A = 12081.1 square inches

Step-by-step explanation:

Let [tex]r[/tex] denotes radius of circle B.

Circle A has a radius that is five more than twice as long as the radius of circle B.

So,

Radius of circle A = [tex]5+2r[/tex]

Diameter of circle = 2 (radius of circle)

So,

Diameter of circle B = 2r

Diameter of circle A = [tex]2(5+2r)[/tex]

Sum of the diameters of the circles A and B = [tex]2r+2(5+2r)[/tex]

                                                                         [tex]=2r+10+4r[/tex]

                                                                         [tex]=6r+10[/tex]

As sum of the diameters of the circles is 88 inches,

[tex]6r+10=88\\6r=78[/tex]

[tex]r=13[/tex] inches

Radius of a circle A = [tex]2(5+2r)[/tex]

                                [tex]=2[5+2(13)][/tex]

                                [tex]=2(5+26)[/tex]

                                [tex]=2(31)[/tex]

                                [tex]=62[/tex] inches

Let R denotes radius of a circle A.

R = 62 inches

Circumference of a circle [tex]=2\pi R=2\pi (62)=124\pi =124(\frac{22}{7})=389.7 \,\,inches[/tex]

Area of a circle [tex]=\pi r^2=\pi (62)^2=3844\pi=3844(\frac{22}{7})=12081.1[/tex] square inches

Are the triangles congruent ? Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

no they are the illuminati

Step-by-step explanation:

no, they are not congruent.

What is the order of these numbers from least to greatest?

4.03 4.3 4.003

Answers

The order is 4.003 then 4.03 then 4.3

Find the equation of the graphed line.

Answers

Answer:

d. y = -⁷/6x - 7

Step-by-step explanation:

✔️First, find the slope (m) using two points on the line, (-6, 0) and (0, -7):

Slope (m) = change in y/change in x

Slope (m) = (-7 - 0)/(0 - (-6))

Slope (m) = -7/6

✔️Determine the y-intercept (b):

The line intercepts the y-axis at -7. Therefore,

b = -7.

✅To write the equation, substitute m = -⁷/6 and b = -7 into y = mx + b

Thus:

y = -⁷/6x + (-7)

y = -⁷/6x - 7

Find the constant proportionality (r) using the value for r, enter an equation in the form of. C=rg that represents the relationship between the number of the gallons of gasoline used (g) and the total cost(c)

Answers

Answer:

3.333

C = 3.3333g

Step-by-step explanation:

Given the relation : C = rg

C = Total cost of gasoline

g = Number of gallons of gasoline used

r = constant of proportionality

Picking any point on the graph :

At cost, c = $30

Number of gallons of gasoline used, g = 9

Putting the values into our equation :

C = rg

$30 = r * 9

30 = 9r

Divide both sides by 9

30/9 = 9r / 9

3.333 = r

Hence, constant of proportionality, r = 3.333

For every 3 packages that Marcella wraps, she uses 12 of a roll of wrapping paper. If she uses 212 rolls of wrapping paper, how many packages has she wrapped?

Answers

Answer:

She wrapped 27 packages also can i have brain or heart

The quadratic function is given in both its standard and factored form below

Answers

x²+2x-15=(x+5)(x-3) there is nothing to factoriz

The following information is given about a trapezoid: A trapezoid is isosceles if its non-parallel sides are congruent. Trapezoid ABCD is not isosceles. Based
on the information, which statement is a valid conclusion about Trapezoid ABCD?

-The parallel bases are congruent.
-The non-parallel sides are perpendicular,
-The non-parallel sides are not congruent.
-One base and one non-parallel side are perpendicular.

Answers

I have no idea tbh but just look it up

what is the awnser to 848 ÷ 6 =

Answers

Answer:

I think 141 is the answer

An arithmetic sequence has a first term of 0 and the 9th term of 12. If 27 is an output of the sequence, which term number is it? Show all steps of calculations and explain in a sentence at the end how you know you have the correct term number.

Giving 100 points to first correct answer

Answers

Answer:

Step-by-step explanation:

[tex]a_{n}=a_{1}+(n-1) d\\n=9\\12=0+(9-1)d\\8d=12\\d=\frac{12}{8}=\frac{3}{2}\\again\\27=0+(n-1)*\frac{3}{2}\\n-1=27*\frac{2}{3}=18\\n=18+1=19[/tex]

How many bases are there in the triangular pyramid shown below?

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

In a pyramid, there is only one base that touches the ground.

However, in a prism, there are two bases, two of the same ends.

The front of the name of the shape also hints:

If it's an octagonal prism, there are two octagon bases.

If it's a hexagonal pyramid, there is one hexagon base.

A student’s AP statistics project involves comparing the time it takes a student to complete a set of 25 basic trinomial factoring problems while listening to either rap music or country music. Twelve students are timed on two different sets of problems of equal difficulty. The order of which set of problems he does first and which music he listens to first are randomized. The resulting data is thus paired, with each student acting as his own "pair." Which of the following conditions is required to perform a t-test on these paired data?
A. The distribution of times for all students on each set of problems must be approximately Normal.
B. The distribution of times for all students while listening to each type of music must be approximately Normal.
C. The distribution of times for all 24 sets of problems (12 students are taking 2 tests each) must be approximately Normal.
D. The distribution of differences between each individual student’s times on each of the two tests (time with rap – time with country) must be approximately Normal.

Answers

Answer:

D. The distribution of differences between each individual student’s times on each of the two tests (time with rap – time with country) must be approximately Normal.

Step-by-step explanation:

For a paired test, there are two measured values of a particular point, here what is measured is the time taken for each of rap and country music by each student.

The difference :

t2 - t1 = time with rap music - time with country music.

The number of samples usually associated with t distribution is usuall y very small (n ≤ 30).

Reggie deposited $1200 into an account that earns 5% compound interest yearly if he does not deposit any more to the account or take any money out of the account how much interest will Reggie earn on his investment at the end of four years round your answer to the nearest whole number

Answers

Answer:

$1,440

Step-by-step explanation:

1,200 / 10 = 120. 120 is 10%. So this means that 5% is $60. 60 x 4 = 240.

1,200 + 240 = 1,440

SL and SK are tangent to the circle find x

Answers

Answer:

B. 5/2

Step-by-step explanation:

A sector of a circle has a central angle of 60°. find the area of each sector if the radius of the circle is 10in

Answers

Answer:

i have made it in above picture

hope it helps

1. The exponential function modeled below represents the number of square
kilometers of land occupied by cane toads x years after this animal was first
introduced into Australia,
Area Occupied by Cane Toads
Time
Area
1,200
(y)
(km)
1,100
1,000
0
36,500
900
5
53,600
800
700
10
78,800
600
15
115,780
500
20 170,120
400
25
250,000
300
200
30 367,300
100
539,700
0 5 10 15 20 25 30 35
Time (y)
Based on the data, which measurement is closest to the number of square
kilometers of land that will be occupied by cane toads 40 years after this
Area (thousands of km)
35
< PREVIOUS

Answers

Answer:

600,000 km²

Step-by-step explanation:

Using the exponential regression calculator : the regression fit obtained for the data is :

36510 * (1.08^x)

After 40 years ;

x = 40

Hence,

y = 36510 * 1.08^40

y = 36510 * 21.72452

y = 793,162.27 km

Hence, y is closest to 800,000 km

Please help with this math equation

Answers

Answer: 1725 ft^2

Step-by-step explanation:

Rectangle part is 30*50 or l*w = 1500

Triangle is 15*30/2=225

Add the two to get area

1500+225=1725

Find the slope of the line. 10 point if you solve.
PLS HELP ME FAST

Answers

The slope of this line is -5

Henry cut a 58 inch plank of wood into two pieces. The longer piece is 20 inches longer than the
shorter piece. What are the lengths of both pieces?

Answers

Yes yes I’m so pretty good I’m sorry I’m not gonna be able to get it back on my bed phone I’m

What is the value of y?

Answers

Answer:

3y+3+y+2y=  

3y+y+2y+3=

4y+2y=6y/3=

3y

Step-by-step explanation:

What is the measure of each angle?? NEED HELP ASAP

Answers

Answer:

The base angles are 64. The top angle is 52

Step-by-step explanation:

Since this is an icoseles triangle, the base angles are equal so:

8x - 16 = 6x + 4

8x - 6x = 4 + 16

2x = 20

x = 10

8x - 16

8(10) - 16

80 - 16

64

The top angle (x)

x + 64 + 64 = 180

x + 128 = 180

x = 52

should I be worried about my upcoming exams?​

Answers

Of course! Just study hard, exams are a big part of your grade most of the time! I also have exams

Answer:

i don't know but I am I have them Monday I'm pretty sure I will fail in math but you'll be good

Step-by-step explanation:

brainlyest please I'm trying to get my thing up

Evaluate 3 (43+ 2) - 6 + 12 ➗ 4 x 2

Answers

Answer:

Hi! The answer to your question is Exact form: [tex]\frac{141}{8}[/tex], Decimal form: 17.625, Mixed number form: 17 5/8

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Which equation represents a proportional relationship where the constant of proportionality is 2? * y=2+k k=2y y=2+x y=2x

Answers

Answer:

y = 2x

Step-by-step explanation:

here in this case, x = independent variable whereas y is the dependent variable.

Now, Equation that represents a proportional relationship with a constant or proportionality of 2 is y =2x.

as y= 2x

⇒ y/x = 2

Which is the graph of linear inequality 6x + 2y > –10? NO PICTURES PLZZ

Answers

Answer:

y>-5-3x

Step-by-step explanation:

The number of mosquitoes at the beginning of the summer was 4,000. The population of
mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be
after 4 months?

Answers

0.25x4000
= 1000
1000x4= 4000
4000+4000
=8000

Please answer with explanation

Answers

Answer:

1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.

2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)

example :

in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be

Y=10x + 20

therefore if she worked zero hours

(Y=10(0) + 20),

she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.

thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.

3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.

In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.

relations does not create a straight line but instead creates a curve.

Triangle Ratios (Sides)
Find the value of c. Round to the nearest tenth!

Answers

Answer:

x =30.7

Step-by-step explanation:

Here, we want to find the value of x

To get this, we use the appropriate trigonometric ratio

From what we have, we have the side facing an angle which is the opposite and the side not facing an angle or the right angle; this is the adjacent

The trigonometric identity that links the opposite and the adjacent is called the tan

It is the ratio of the opposite to the adjacent

Thus, we have;

tan 61 = x/17

x = 17 * tan 61

x = 30.7

Please help me!!!!!!

Answers

Answer:

13.5 ft²

Step-by-step explanation:

This is also a trapezoid so we can do this formula:

[tex]A=\frac{a+b}{2} *h\\\\A=\frac{3+6}{2} *3\\\\A=\frac{9}{2} *3\\\\A=4.5*3\\A=13.5[/tex]

Find the area of the blue shaded portion.​

Answers

Answer:

its 48

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

no

Other Questions
Read paper pls cant type it Ill give the brainiest to someone who answers!!!Asking: Write 10 sentences on your own in Spanish. Remember, each sentence will need a subject pronoun, and a conjugated verb and then try to add a bit more to it. Do not use a translator.Only use the vocab words shown on the images! can someone explain this? or help me with this I'm kinda confused about what to do.Criteria: Sentence 1The sentence contains a subject, and verb that is correctly conjugated and adds extra vocabulary to build sentence length and context.Sentence 2The sentence contains a subject, and verb that is correctly conjugated and adds extra vocabulary to build sentence length and context.Sentence 3The sentence contains a subject, verb that is correctly conjugated, and adds extra vocabulary to build sentence length and context.Sentence 4A sentence contains a subject, verb that is correctly conjugated, and adds extra vocabulary to build sentence length and context.Sentence 5The sentence contains a subject, verb that is correctly conjugated, and adds extra vocabulary to build sentence length and context.Sentence 6The sentence contains a subject, verb that is correctly conjugated, and adds extra vocabulary to build sentence length and context.Sentence 7Sentence contains a subject, verb that is correctly conjugated, and adds extra vocabulary to build sentence length and context.Sentence 8Sentence contains a subject, verb that is correctly conjugated, and adds extra vocabulary to build sentence length and context.Sentence 9Sentence contains a subject, verb that is correctly conjugated, and adds extra vocabulary to build sentence length and context.Sentence 10Sentence contains a subject, verb that is correctly conjugated, and adds extra vocabulary to build sentence length and context. The deadline for filing a charge of unfair labor practices with the nlrb is _____ after the incident occurred. What was the conflict between Jing Mei and her mother? difference bettween star and protostar? the circle with equation x + y + sx + ty + 33 = 0 has center (4,5) what is s/t?someone help please! the volume of a rectangular prism is 165 cubic inches. the base of the prism has an area of 15 square inches. what is the height of the prism What taste good or bad to us is based purely on our biology? The sensation of color is seen when light falls on the eye'sa) both of theseb) rodsc) conesd) neither of these What is benefit of life insurance? a student wanted to determine the order with respect to a green food dye for the reaction between the dye and bleach. what change to the procedure that you performed would the student have to make? An architect maps two buildings, which are located on a piece of land, onto a coordinate plane. He wants to build a wall at the diagonal ac to divide the piece of land into two parts. What will be the length of the wall?. 4 paragraph essay on 'How does crime affect our community?' How do you find the area of a contour? note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. consider the following symbols and their frequencies: a: 0.20, b: 0.10, c: 0.15, d: 0.25, e: 0.30 since b and c are the symbols of least weight, they are combined into a subtree, which we will call t1 for discussion purposes, of weight 0.10 0.15 What antibodies does a person with B blood type have ? 7Radon-222 is radioactive. It can be represented as 222 Rn.86For a neutral atom of radon-222, state1. the number of protons,2. the number of neutrons,3. the number of electrons. What is the median of the following 26 27 28 29 30? The Federal Helium Reserve held about 16 billioncubic feet of helium in 2010 and is being depleted byabout 2.1 billion cubic feet each year.a. Give a linear equation for the remaining federalhelium reserves, R, in terms of t, the number ofyears since 2010.b. In 2015, what will the helium reserves be?c. If the rate of depletion doesnt change, in what yearwill the Federal Helium Reserve be depleted How did the US Senate feel about the League of Nations?