Problem A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each section is painted a different color. The radius of the circle is 10 \text{ meters}10 meters10, start text, space, m, e, t, e, r, s, end text. What is the area AAA of each section of the circle? Give your answer in terms of pi. A=A=A, equals \text{m}^2m 2 start text, m, end text, squared

Answers

Answer 1

Answer:

25[tex]\pi\ m^2[/tex]

Step-by-step explanation:

Given that:

A large circle in the park has its middle part painted.

The circle is divided in 4 equal parts.

Radius of the circle = 10 meters

To find:

Area of each section of the circle, [tex]A[/tex] = ?

Solution:

Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.

First of all, let us have a look at the formula for area of a circle with given radius [tex]r[/tex]:

[tex]Area = \pi r^2[/tex]

Here, [tex]r = 10 m[/tex]

Putting the value in the above formula, we get:

So, area = [tex]\pi 10^2 = 100\pi\ m^2[/tex]

Now, there are 4 equal parts of the circle, therefore area of each section will be equal.

Area of each section of the circle:

[tex]\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2[/tex]


Related Questions

Pls help it timed!!!!

Answers

Answer:

its subtraction property of equality

Step-by-step explanation:

it shows that the 3/4 next to the 16 was subtracted on both sides to cancel out on of the other 3/4 on the other side...

i uploaded a pic just incase u didnt understand

Hope this helps!!!

Evaluate f(x)=x-5 when x=-5,x=0,and x=5

Answers

Answer:

f(x) = x - 5

f(-5) = -5 - 5

= -10

f(0) = 0 - 5

= -5

f(5) = 5 - 5

= 5

Hope this helps!

help me with this now please

Answers

Step-by-step explanation:

davis is right.


Which of the following statements correctly explains whether or not the two figures are congruent?

Answers

Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.

Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.

Step-by-step explanation: I just took the test

What property should you use first to solve 14+c=39

Answers

Answer:

Subtraction

Step-by-step explanation:

A recipe for shepherd's pie uses 3 cups potatoes, 2 cups carrots, 1 cup onions, 1 ½ cups ground round to create enough for 6 people. If you need to feel 16 people, how many cups of carrots do you need? Use scale factors and ratios to solve this problem. Remember to show your work.

Answers

Answer:

[tex]5\frac{1}{3}[/tex] cups of carrot.

Step-by-step explanation:

Let's set up proportional equation.

6 people need 2 cups of carrots

Let 16 people need x cups of carrots.

We could form ratio for number of people to cups of carrot used as

6:2

16:x

So, proportional equation would be

[tex]\frac{2}{6} =\frac{x}{16}[/tex]

Cross multiply

32=6 x

Divide both sides by 6.

x=[tex]\frac{32}{6}[/tex]

Divide to get mixed number

x=5[tex]\frac{2}{6}[/tex]

Simplify the fraction

x=[tex]5\frac{1}{3}[/tex] cups of carrot.

Mr. Martinez is buying food for a party. Hamburger patties are sold in packages of 6 and hamburger buns are sold in packages of 8. If he wants to have an equal number of each, what is the LEAST number of hamburger patties and buns that Mr. Martinez will have to buy?

Enter the correct answer in the box.

Answers

Answer:

24 is the least number of hamburger patties and buns Mr. Martinez will have to buy.

Step-by-step explanation:

You need to find the LCM of 6 and 8. The number they have first have common is 24

Raquel is at an arcade. She bought 8 tickets, and each game requires 2 tickets. -Write two equivalent expressions that gives the number of tickets Maddy has left in terms of x, the number of games she has already played.

Answers

2x=8
And
8 divided by 2 = x

Answer:

raquel can only play 4 games

so 2x4=x=8

or 8 divided by  4 is x=2

Step-by-step explanation:

Find the value of X and Y

Answers

Answer:

Answer: x=4, y=10

Step-by-step explanation:

Lines and Angles

When lines cross, the angles formed in the intersections meet certain properties that help us to solve some geometry problems.

We must recall the so-called linear angles, defined as the adjacent angles formed in the point where two lines cross.

Linear angles always add up to 180°

We can see line m intersects with the horizontal (unnamed) line forming two pair of linear angles, thus:

29x - 3 + 15x + 7 = 180

Simplifying:

44x +4 = 180

Subtracting 4:

44x = 176

Dividing by 44:

x = 176/44

x = 4

Now below the horizontal line, we find other pair of linear angles, thus:

13y - 17 + 15x + 7 = 180

Substituting x=4:

13y - 17 + 60 + 7 = 180

Simplifying:

13y + 50 = 180

Subtracting 50:

13y = 180 - 50 = 130

Dividing by 13:

y = 130/13 = 10

y = 10

Answer: x=4, y=10

Bella earned $216 in interest after 4 years on a principal of $1,500. What is her interest rate?

Answers

Answer:

R = 148.6111%/year

Equation:

r = (1/t)(A/P - 1)

Calculation:

Solving our equation:

r = (1/4)((1500/216) - 1) = 1.48611111

r = 1.48611111

Converting r decimal to R a percentage

R = 1.48611111 * 100 = 148.6111%/year

The interest rate required to get a total amount, principal plus interest, of $1,500.00 from simple interest on a principal of $216.00 over 4 years is 148.6111% per year.

Answer: 3%

Step-by-step explanation:

216 / 1500 = 14.4

14.4/ 48 months = .003

.003 x 100 = 3%

480/____=80
what does ____=???

Answers

The answer is 6. 480 divided by 80 gives you the answer 6.

PLEASE HELP ME!!!!

What is 567-58y+375-56=13c-5s-456x249=?

I NEED HELP!!

Answers

The answer is b just took the test

Out of 30 cookies,
4/5
are chocolate chip. How many cookies are chocolate chip

Answers

Answer:

24 are chocolate chip

Step-by-step explanation:

Hope this helps =)

Find 3 consecutive odd integers such that 10 times the first is 59 more than the third

Answers

9514 1404 393

Answer:

  7, 9, 11

Step-by-step explanation:

Let x represent the middle integer. Then the first is x-2, and the third is x+2. The given relation is ...

  10(x -2) = 59 +(x +2)

  10x -20 = x +61 . . . . eliminate parentheses

  9x = 81 . . . . . . . . . . . add 20-x

  x = 9 . . . . . . . . . . . . . divide by 9

The integers are 7, 9, 11.

_____

Check

  7·10 = 11 +59 . . . true

uhh.i dumb the screenshot is here

Answers

Answer:

40

Step-by-step explanation:

Just use a calculator. I didn´t need to. My brother helped me a little

The answer is 40 I believe

16. If 3x2 = 2y = 12, what is the value of x2y

Answers

3 times 2 is 6 so then you have to divide and 6 time 2 is twelve so the answer is 2

Y=2

Answer if you know the correct answer

Answers

Answer:

a = -2

b = -30

c = -22.5

d = -18

Step-by-step explanation:

I answered all the equations and highlight the correct ones which are answer choices B and C.

what’s the value of x in the solution to this system of equitations:
3x + 4y =-3
x= -2y- 1

Answers

Answer:

x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -3

x = -2y - 1

Step 2: Solve for y

Substitution

Substitute in x:                    3(-2y - 1) + 4y = -3Distribute 3:                         -6y - 3 + 4y = -3Combine like terms:           -2y - 3 = -3Isolate y term:                     -2y = 0Isolate y:                              y = 0

Step 3: Solve for x

Define equation:                   x = -2y - 1Substitute in y:                      x = -2(0) - 1Multiply:                                 x = 0 - 1Subtract:                                x = -1

f=4x-3)²-(2x+4)²
a) factorise l'espression:

b)déduis en les solutions de l'equation: 4x-3)²-(2x+4)²=0

Answers

Answer:

A)(6x+1)(2x-7)

B)x={-1/6,7/2}

Step-by-step explanation:

A) (4x-3)²-(2x+4)²

(4x-3+2x+4)(4x-3-2x-4) (as a²-b²= (a+b)(a-b) )

(6x+1)(2x-7) (ans)

B) (4x-3)²-(2x+4)²=0

=>(6x+1)(2x-7)=0 (as we have gotten from a that (4x-3)²-(2x+4)² is equal to (6x+1)(2x-7) )

=>6x+1=0

=>2x-7=0

=>6x=-1

Therefore

x=-1/6

=>2x-7=0

=>2x=7

Therefore

x=7/2

how do u do this im confused

Answers

Answer:

Line one answers: -x^2.  2x^2.  0.  5x^2

Line two answers: -x^2.  12x^2.   -2x^2.   8x^2

Line three answers: 4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

Answer:

-x^2.  2x^2.  0.  5x^2

-x^2.  12x^2.   -2x^2.   8x^2

4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

plz help me ........

Answers

Answer a is it

Step-by-step explanation

What is the sum of the measures of the exterior angles of this triangle

Answers

Answer:

180°

Step-by-step explanation:

because because that's how much the angle of this triangle is

Answer:  360

The sum of the exterior angles is always 360. This applies to any polygon.

note: If you wanted to sum up the interior angles, then the answer would be 180.

Lin found the area of a rectangle with a of length 5 in and a width of 3 inches, to be 15 square inches. Lin creates another rectangle that is a scaled copy with a scale factor of 2. What is the area of the new rectangle? How did you find it?

Answers

Answer:

60in^2

Step-by-step explanation:

Step one:

given data

lenght L= 5in

width W= 3 in

area= L*W

area= 5*3= 15in^2

Step two:

The rectangle was scaled by 2, this means that the dimensions were doubled

therefore the lenght and width will be

L=5*2= 10

W=3*2= 6

hence the area is

Area= 10*6= 60in^2

what is 53829-(-538)7902(6)=?

Answers

Answer:

25561485

Step-by-step explanation:

7÷7/11=
Please explain for me

Answers

Answer:

11

Step-by-step explanation:

You have to first make the 7 into a fraction (7/1) then keep, change, flip.

You keep the 7/1 as it is, you change the division sign into a multiplication sign, and you flip the 7/11 to 11/7. You then just multiply straight across to get 77/7 which is the same thing as 11/1 which is the same thing as 11!

Final answer:11


f) Cosec2A + Cot4A = CotA – Cosec4A

Answers

Answer:

True (the sides are equal)

I hope this helps!

I need the value of X

Answers

Answer:

x=36

Step-by-step explanation:

By vertical angles we know that

[tex]72 = 2x\\\\x=\frac{72}{2}\\\\x=36[/tex]

Answer:

x = 36

Step-by-step explanation:

72 and 2x are vertical angles, so they are equal.

2x = 72

2x/2 = 72/2

x = 36

Mrs. Austin wraps 3 presents in 1/4 of an hour. At that rate, how many presents will be wrapped in 3 hours?

Answers

Answer:

36

Step-by-step explanation:

Answer:

36 presents

Step-by-step explanation:

there will be 12 presents wrapped per hour, since there are 3 presents in 1/4 hour. 12x3 is 36 :).

z=32+41.9i
What are the real and imaginary parts of z?
--------------------------------------------------------------
A. Re(z) = 32 and Im(z) = 41.9
B. Re(z) = 32 and Im(z) = 41.9i
C. Re(z) = 41.9i and Im(z) = 32
D. Re(z) = 41.9 and Im(z) = 32

Answers

A. Re(z)= 32 and Im(z)= 41.9

The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’

In your own words, explain 3 or more sentences "how do you multiply rational number?" Tell how the signs, negative and positive, affect what you do. Identify what sign the product will have. Explain why the product will have a positive or negative sign.

Answers

Answer:

Rules & Examples of Integers multiplication.

Step-by-step explanation:

A rational number  is a number that can be expressed as a fraction of integers (positive or negative numbers). Every integer is a rational number.

They are multiplied based on following rules :

Positive (+) x Positive (+) = Positive (+) , +2 x +2 = 4 Positive (+) x Negative (-) = Negative (-) , +2 x -2 = -4 Negative (-) x Positive (+) = Negative (-) , -2 x +2 = -4 Negative (-) x Negative (-) = Positive (+) , -2 x -2 = 4

Answer:

negitive

Step-by-step explanation:

just did it

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