if a circle has a circumference of 100 pi units what is its area

Answers

Answer 1

Step-by-step explanation:

We have,

Circumference of a circle is 100 π.

Formula for circumference is :

[tex]C=2\pi r[/tex]

r is radius of circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{100\pi }{2\pi}\\\\r=50\ \text{units}[/tex]

Formula for area of circle is :

[tex]A=\pi r^2\\\\A=\pi (50)^2\\A=2500\pi\ \text{units}^2[/tex]

Answer 2

the area of the circle is 2500π square units.

To find the area of a circle when given the circumference, we must first determine the radius of the circle. The formula for the circumference of a circle is C = 2 π r, where C is the circumference and r is the radius. In this case, the circumference is 100 π units.

We can solve for the radius (r) as follows:C = 2 π r100 π = 2 π rr = 100 π / (2 π)r = 50 units
Now, to find the area (A) of the circle, we use the formula A = π r².

Substitute the radius (50 units) into the area formula:

A = π * (50 units)²A = π * 2500 units²A = 2500 π units²
Therefore, the area of the circle is 2500 π square units.


Related Questions

help me plz and thank you!!!!

Answers

Answer: A is the answer

Step-by-step explanation:

The graph shows point F located at (0, 6) and line d given by the equation y = 0.

Drag each coordinate pair into a box to show whether that point is equidistant or not equidistant from point F and line d, or if equal distance cannot be determined.

Answers

Answer:

equidistant from point F and line d: (0, 3); (6, 6) and (-6, 6)

not equidistant from point F and line d: (3, 0); (3, 5) and (-2, 2)

Step-by-step explanation:

Point (0, 3)

Distance from point (0, 6) = 3

Distance from line d = 3

Point (6, 6)

Distance from point (0, 6) = 6

Distance from line d = 6

Point (3, 0)

Distance from point (0, 6) = √[(3 - 0)² + (0 - 6)²] = √45

Distance from line d = 0

Point (3, 5)

Distance from point (0, 6) = √[(3 - 0)² + (5 - 6)²] = √10

Distance from line d = 5

Point (-2, 2)

Distance from point (0, 6) = √[(-2 - 0)² + (2 - 6)²] = √20

Distance from line d = 2

Point (-6, 6)

Distance from point (0, 6) = 6

Distance from line d = 6

please help these are my last of points

Answers

The Correct answer would be B

I hope this was helpful :P

STAY SAFE!! :)

In the diagram below, XY and YZ are tangent to O. What is the measure of XZ?

Answers

The measure is xz divided by zy

The measure of arc xz is 106 degrees.

What is  Major and Minor Arc ?

A small arc is one with a measure of fewer than 180 degrees. A major arc is one with a measure greater than 180 degrees. A semicircle is an arc that divides a circle in half and has a measure of 180 degrees.

An arc is a continuous segment of a circle. There are two sections, one of which is larger than the other. The major arc is the larger one, and the minor arc is the smaller one.

Given:

From diagram, m ∠xz = 254 degrees.

We know that whole circle = 360 degrees

So, measure of arc XZ = 360 - 254

                                      = 106

Hence, the measure of arc xz is 106 degrees.

Learn more about Major and Minor Arc here:

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convert 64 km to miles

Answers

Answer:

39.68 miles

Step-by-step explanation:

1 km is roughly 0.62 miles

Multiply 0.62 by 64 to get the answer of 39.68

Answer:

39.768 miles

Step-by-step explanation:

1.60934 Km equals 1 miles so 64 divide by 1.60934 to get the answer, 39.768.

True or False: If a pair of lines is not parallel, it must be perpendicular.

Answers

Answer:

False

Step-by-step explanation:

Parallel lines are lines that never intersect.  If the line changes slightly, the lines will intersect. This doesn't mean that it's perpendicular

Perpendicular lines are lines that intersect in such a way that the lines form 90 degree angles.

The statement is false. Non-parallel lines are not necessarily perpendicular; they can intersect at any angle other than right angles.

The statement 'If a pair of lines is not parallel, it must be perpendicular' is False. Not all non-parallel lines are perpendicular. Perpendicular lines are a specific case of non-parallel lines where they meet at right angles (90 degrees). Non-parallel lines that are not perpendicular to each other may intersect at any other angle, which could be acute or obtuse but not 90 degrees.

Theorem 10 supports this by stating that 'If two lines cut a third at the same angle, that is, so that corresponding angles are equal, a line can be drawn that is perpendicular to both'. Theorem 14 also relates as it informs 'If a line is perpendicular to two intersecting lines at their intersection, it is perpendicular to all lines of their plane passing through this point'. However, non-parallel lines that do not satisfy these conditions are simply intersecting lines at some angle other than 90 degrees.

Find the mean, median, mode and range of 13, 18, 13, 14, 13, 16, 14, 21, 13

Answers

Answer:

Mean -

15

Median  -

14

Mode -

13

Range -

8

Hope this helps!

What percent is equivalent to the fraction 4/5?

Answers

Answer:

80/100 or 80%

Step-by-step explanation:

Find the perimeter of the square
With one side 2 1/2 yards

Answers

Answer:

12

Step-by-step explanation:

2.5*4=12

if each side of a square is the same length then yes my answer is correct

Final answer:

To find the perimeter of the square with a side length of [tex]2\frac{1}{2}[/tex] yards, the side length is converted to a decimal and multiplied by 4, resulting in a perimeter of 10 yards.

Explanation:

The student's question is about finding the perimeter of a square when given the length of one side, which is [tex]2\frac{1}{2}[/tex] yards.

Since a square has four equal sides, the perimeter (P) of a square is calculated by multiplying the length of one side (s) by 4, which can be expressed as P = 4s.

In this case, if we convert [tex]2\frac{1}{2}[/tex] yards to a decimal, we get 2.5 yards.

Therefore, the perimeter of the square is 4 × 2.5 yards, which equals 10 yards.

Which of the following is a statistical question?
A. How many books did Matt read?
B. How many jars are kept on the shelf?
C. How many pieces of candy does Rachel have?
D. How many runs did the baseball team score in each game this season?

Answers

Answer:

D

Step-by-step explanation:

It is asking overall

d is the answer to this question.

Determine the intercepts of the line

Answers

x7,y2 i don’t know what else to thing
X(-7;0)
Y(0;2)

you must always put the value of "x" and then that of "y"

The city aquarium got a new tank for their dolphins. The tank is 16 feet high with a radius of 28 feet. Answer these
questions about the new dolphin tank.
Approximately how much water will it take to fill the tank?
The aquarium needs to purchase a plastic cover for the tank. What should the approximate size of the cover be?

Answers

Answer:

I know the answer to the last one. Its D

Step-by-step explanation:

Approximately, the quantity of water it will take to fill this tank is equal to 39,413 cubic feet.

Given the following data:

Radius of cylinder = 28 feet.

Height of cylinder = 16 feet.

How to calculate the volume of this cylinder?

Mathematically, the volume of a cylinder is calculated by using this formula:

V = πr²h

Where:

h is the height.r is the radius.

Substituting the given parameters into the formula, we have;

V = 3.142 × 28² × 16

V = 39,413.248 39,413 cubic feet.

For the cover size, we have:

Area = πr²

Area = 3.142 × 28²

Area = 2,463.328 2,463 ft².

Read more on cylinder here: https://brainly.com/question/12654281

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Determine the sine of

Answers

Answer:

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.

I'm not sure if this answers your question.

Which of the following is a solution of y> |x| - 5?
(4,-1)
(-1,-4)
(-4, 1)

Answers

Answer:

(-4,1)

Step-by-step explanation:

Let us check the choices.

y > |x| - 5

- 1 > |4| - 5 = -1   NO  (4,-1);

-4 > |-1| - 5 = -4  NO not(-1,-4)

1 > |-4| - 5 = -1   TRUE, yes (-4,1)

What is the slope of the line shown below?

Answers

Answer:

3, you can count the points, up 3 over one

sams swim shop also owns a small beachside stand. the beachside stand profit is about 25% of the amount of the swim shop profit. If the stand profited $2,000 in march,then how much did the swim shop profit ??

Answers

the swim shop profited $1,500

Answer:

8000

Step-by-step explanation:

25% of x = 2000

x=8000

Evaluate 5+ (-11) - (-11)

Answers

Answer:

5

Step-by-step explanation:

To solve a problem with negatives, we use the following rule.

If it is like

x+(-y), it is equivalent to x-y

If the equation is like

(-x)-(-y), it is equivalent to (-x)+y

So,

5+(-11)=5-11=-6

(-6)-(-11)=(-6)+11=5

Your answer is 5.

Four fifths of 30 students finished the test early .How may students finished the test early?​

Answers

Answer:

24

Step-by-step explanation:

count by sixes. Good luck

Answer:

24

Step-by-step explanation:

(4/5)*30=24

4/5=.8

(.8)*30=24

What is 1/4y+3/4(y-8)

Answers

Answer: y-6

Step-by-step explanation:

1/4y+3/4(y-8)

1/4y+3/4y-6

1y-6

Just simplify the equation by distributing 3/4 to y and -8 then combine like terms

Which is equivalent to (3/125)*?


answer : a 1251/3x

Answers

Answer:

1/50

Step-by-step explanation:

5 red flowers 10 yellow 75 total how many red

Answers

Answer

25 are red

Step-by-step explanation:

red I blue

5     I   10

10   I   20

15   I   30

20  I   40

25  I   50

Find the area of the triangle below.

Answers

Answer:

90

Step-by-step explanation:

The formula for a triangle is base times height then dividing it by 2

So 15 times 12 is 180 and dividing it by 2 gets you 90.

Hope this helps!

Answer:

72  :)

Step-by-step explanation:

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

     Hope this helps

Help with mathematics

Answers

Answer:

no

Step-by-step explanation:

because

Answer:

vertical line: x = 1

horizontal line = y = -2

Step-by-step explanation:

It's easy, really. A vertical line will always have x in the equation, and a horizontal line will always have y. Then, you find what it's equal to by looking at the point's x and y values and it corresponds to the answer.

Mrs. Smith has 4 pounds of cat food. Her son gave her 5 more pounds. She feeds her cats 3/4 of a pound per day. How many days will Mrs. Smith be able to feed her cats with the cat food she has now? Group of answer choices 27 days 15 days 12 days 9 days

Answers

Answer:

12 days

Step-by-step explanation:

So 4 + 5 is 9. Then you divide 9 by 0.75 since that is equivalent to 3/4 and get 12.

true or false if two triangles have three pairs of congruent sides, then the triangles are not guarnteed to be congruent

Answers

Answer:

False

Step-by-step explanation:

Because when you have pairs of congruent shapes, then you have a guaranteed to be congruent.

Answer:

it is true on quiz 7.1.2 exam sem 1

Step-by-step explanation:

Which function is equivalent to f(x) = -4(x + 7)2 – 6?
A. f(x) = -4x2 – 56x - 202
B. f(x) = -4x2 + 14x + 43
C. f(x) = --4x2 - 56x - 172
D. f(x) = -4x2 + 190

Answers

Answer:

A

Step-by-step explanation:

Given

f(x) = - 4(x + 7)² - 6 ← expand factor using FOIL

     = - 4(x² + 14x + 49) - 6 ← distribute parenthesis by - 4

    = - 4x² - 56x - 196 - 6 ← collect like terms

    = - 4x² - 56x - 202 → A

The equivalent function is [tex]f(x)=-4x^{2} -56x-202[/tex]

Option A is correct.

Equivalent function :

The given function is,

                        [tex]f(x)=-4(x+7)^{2}-6[/tex]

We have to expand above function.

                    [tex]f(x)=-4(x+7)^{2}-6\\\\f(x)=-4(x^{2} +14x+49)-6\\\\f(x)=-4x^{2} -56x-196-6\\\\f(x)=-4x^{2} -56x-202[/tex]

Thus, the equivalent function is [tex]f(x)=-4x^{2} -56x-202[/tex]

Learn more about the quadratic function here:

https://brainly.com/question/25841119

if (one) yard is equal to 3 (three) feet, convert 7 yards to feet​

Answers

Answer:

21 feet

Step-by-step explanation:

7*3=21

I wish you luck :)

Jasmine thinks that the images are the same because they are both isosceles triangles. Do you agree with Jasmine why or why not?

Answers

Answer:

No, images are not same as  their dimensions are different although two sides in each of the two triangles are equal.

Step-by-step explanation:

Given: images of two isosceles triangles.

To check: if images are the same

Solution:

A triangle is a polygon made up of three sides.

An isosceles triangle is a triangle in which two sides are equal. Also, in an isosceles triangle, angles opposite to equal sides are equal.

The given images of two isosceles triangles A and B are not the same as their dimensions are different although two sides in each of the two triangles are equal.


Fido weighs 26 pounds more than Fifi. Fifi weighs 12 pounds less than Rover. If the sum of their weights is 71, how much does Fifi weigh?





Answers

Final answer:

By setting up a system of linear equations using the given relationships and solving for Fifi's weight, we find that Fifi weighs 11 pounds.

Explanation:

The question involves solving a system of linear equations to find the weight of Fifi. We are given three pieces of information:

Fido weighs 26 pounds more than Fifi.Fifi weighs 12 pounds less than Rover.The sum of their weights is 71 pounds.

Let's denote Fifi's weight as F, Rover's weight as R, and Fido's weight as D. Based on the information provided, we can write the following equations:

D = F + 26F = R - 12F + R + D = 71

To find Fifi's weight, we need to substitute the first two equations into the third one:

Substitute D from equation (1) into equation (3): F + R + (F + 26) = 71Substitute R from equation (2) into the new equation: F + (F + 12) + (F + 26) = 71Combine like terms: 3F + 38 = 71

Now, solve for F:

3F = 71 - 383F = 33F = 11

Therefore, Fifi weighs 11 pounds.

Miguel will study for the quiz on which he is likely to do worse by guessing.
Which quiz should he study for?
A. History, because he must get more questions correct.
B. Science, because the probability of getting all questions correct is
0.016, which is lower than for history (0.031).
C. History, because the probability of getting all questions correct is
0.031, which is lower than for science (0.75).
D. Science, because the probability of getting all questions correct is
0.075, which is lower than for history (0.25).

Answers

Answer:

B: Science

Step-by-step explanation:

The reason B is correct is because 0.016 is lower than all the other possibility. A has no math to compare, but the others do, making it easier to determine the correct answer.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!    

Answer:c

Step-by-step explanation:

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