A circle is drawn inside a square so its circumference touches each of the four sides of the square. If the area of the circle is 99.2cm2 calculate the length of the sides of the square.

Answers

Answer 1

Answer:

The length of the sides of the square is approximately 11.239 centimeters.

Step-by-step explanation:

Since the circle is inscribed in the square, the length of each side of the square ([tex]l[/tex]), in centimeters, is equal to the length of the diameter of the circle ([tex]D[/tex]), in centimeters. The area of the circle ([tex]A_{c}[/tex]), in square centimeters:

[tex]A_{c} = \frac{\pi\cdot D^{2}}{4}[/tex] (1)

Where [tex]D[/tex] is the diameter of the circle, in centimeters.

If we know that [tex]A_{c} = 99.2\,cm^{2}[/tex], then the length of the sides of the square is:

[tex]D = \sqrt{\frac{4\cdot A_{c}}{\pi} }[/tex]

[tex]l = D \approx 11.239\,cm[/tex]

The length of the sides of the square is approximately 11.239 centimeters.


Related Questions

Simplify.
5V18-2V50
V50

Answers

Answer:

-500

Step-by-step explanation:

The distance between each base on a baseball diamond is 70 feet. How far would a player have to throw the ball to get it from 1st base to 3rd base? Round your answer to the nearest tenth and label your answer.

Answers

Answer:

140

Step-by-step explanation:

From the 1st base to the 2nd base is 70 feet.

From 2nd base to 3rd base is 140 because 70×2=140.

Another way to do this is 70+70=140.

Hopefully this helps :)

What is the measure of RMN? (Don't understand how to get the answer)

Answers

Answer:

RMN+117°=180°

RMN=180°-117°

RMN=63°

SUM OF ANGLE ON A STRAIGHT LINE ADD UP TO 180°

please help me solve this​

Answers

Answer:

4x^2+36x+81

Step-by-step explanation:

FOIL

First terms

Outside terms

inside terms

last terms

An engine is operating at 25% of its full power. Which number line shows a point that
represents 25%?

Answers

Answer:

The first line

Step-by-step explanation:

The functions f(x) and g(x) are defined below. Which expression is equal to f(x) + g(x)?

Answers

Answer:

2(x-10)/(x+10)(x-4)

Step-by-step explanation:

Find the complete question attached as a diagram

Given the following

F(x) = x-16/x²+6x-40

Factoring the denominator

F(x) = x-16/x²-4x+10x-40.

F(x) = x-16/x(x-4)+10(x-4)

F(x) = x-16/(x+10)(x-4)

g(x) = 1/x+10

Adding both functions

F(x)+g(x) = x-16/(x+10)(x-4) + 1/x+10.

F(x)+g(x) = x-16+(x-4)/(x+10)(x-4)

F(x)+g(x) = x-16+x-4/(x+10)(x-4)

F(x)+g(x) = x+x-16-4/(x+10)(x-4)

F(x)+g(x) = 2x-20/(x+10)(x-4)

F(x)+g(x) = 2(x-10)/(x+10)(x-4)

One angle of a triangle measures 57° Which could be the other two angles of the triangle?
A. 48° and 75°
B. 57º and 57°
C. 63º and 70°
D. 70° and 83°

Answers

Answer:

A) 48° + 75°

Step-by-step explanation:

All triangles contain 180°

180° - 57° = 123°

A) 48° + 75° = 123°

B) 57° + 57° = 114°

D) 63° + 70° = 133°

A) 70° + 83° = 153°

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

The answer is A. 48 and 75

Thr sum of all triangles is 180

so, 180 57 = 123

The sum of other two angles should be 123,

so,...

48 + 75 = 123

ThanksHope it helpsPls mark as brainliest.

HELP! Write an equation that represents the relationship between the two variables.

Answers

Answer:

x + 1, y + 1

Step-by-step explanation:

For every x there is a y

(っ◔◡◔)っ ♥ Hope It Helps ♥

Anybody know the answer ??? I need it real quick plz don't send a file!!

Answers

Answer:

Here’s a file hosting..

SCROLL DOWN FOR LINK

Step-by-step explanation:

Answer is B, C, D, E, A

HELP!!! (the correct answer will be marked as brainliest)
The salary of fast food store branch manager is 3 times more than a part time employee salary, $x per day. Working hours for part time employees are half of the manager's working time, y within a month. If they work 26 days in a month, write the formula for the difference in salary, $z between the two workers in terms of x and y.​

Answers

Answer:

Step-by-step explanation:

Part time workers  daily rate = x.

Managers daily rate y  = 3x.

The measure of an angle is 137.4°. What is the measure of its supplementary angle?

Answers

Answer:

42.6 degrees

Step-by-step explanation:

A supplementary angle is one that adds to the other one so the sum is 180 degrees. So 180-137.4=42.6

Help me with this please

Answers

Answer:

1) <2 ; 60

2) <3 ; 60

3) <4 and <3. <4 = 120 and <3 = 60

4) <1, <3, and <4 = 125. <2 = 55

Step-by-step explanation:

1)

Corresponding angles are equal

2)

Alternate interior angles are equal

3)

<4 and <3 are same-side interior angles. This makes them supplementary angles

<4 = 120

<3 = 60

4)

<1 = <4 = <3. All of these angles equal 125.

<2 + <1 = 180

<2 + 125 = 180

<2 = 55

What is the volume, in cubic feet, of this composite figure? (Do not write
the units.) *
1 ft
2 ft
5 ft
3 ft
9 ft

Answers

I think the answer is 5

Urgent! Please help me out.

Answers

Answer:

According to the graph it should be D  Have a good day thank you <.>

Step-by-step explanation:

Answer:

D i think

Step-by-step explanation:

if it started at 54º, and in each one hour it grows 8 degrees, then it is d

not b because in the first hour it only went up to 60º

pls mark brainliest unless someone alreay answered it

thank you have a great day! :D

this is going to be my 13th reason please help me

Answers

Answer:

The radius of these cylinders is approximately 1 foot.

Step-by-step explanation:

According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:

[tex]V \propto h[/tex]

[tex]V = k\cdot h[/tex] (1)

Where:

[tex]V[/tex] - Volume of the cylinder, in cubic feet.

[tex]h[/tex] - Height of the cylinder, in feet.

[tex]k[/tex] - Proportionality constant, in square feet.

Besides, the proportionality constant is described by this expression:

[tex]k = \pi \cdot R^{2}[/tex] (2)

Where [tex]R[/tex] is the radius of the cylinder, in feet.

If we know that [tex]h = 9\,ft[/tex] and [tex]V = 28.26\,ft^{2}[/tex], then the radius of the cylinder is:

[tex]k = \frac{V}{h}[/tex]

[tex]k = 3.14[/tex]

[tex]R = \sqrt{\frac{k}{\pi} }[/tex]

[tex]R \approx 1\,ft[/tex]

The radius of these cylinders is approximately 1 foot.

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

The answer should be A because when I put them on a graph they were in the shape of a square/rectangle

What is the ratio of the volume of a cube with a side
length of 2 cm to the volume of a cube with a side
length of 4 cm?

Answers

Answer:

1:8

Step-by-step explanation:

first cube's volume=2*2*2=8

second cube's volume=4*4*4=64

8/64=1/8

I need help asap, please!

Answers

Answer:

It should be A: 12

Because pqrs is 4 x 3 and the other side is the same thing

The area of a square piece of glass is 36 square centimeters. How long is each side?

Answers

Answer:

6 centimetres

Step-by-step explanation:

Square root 36 = 6

Answer:

6

Step-by-step explanation:

A = x^2

x = √A

x = √36

√36 = 6

last one pls help i dont get this slope thingy

Answers

Answer:

-3

Step-by-step explanation:

Slope going down.

From point (-2,3) to (-1,0): Down 3, Over 1 (-3/1)

I have been stuck on this question for a while(NO SPAMMING IT IS ANNOYING)The formula used to find the area of a circle is πr² (π=pi). What is the area of a circle with a diameter of 16cm? Use pi = 3.14

Answers

Answer:

200.96

or

201 (if you round it up)

Step-by-step explanation:

1) Well, if we know that the diameter (D) is 16 cm, then we know that the radius (r) is 8 cm (D = 2 * r).

2) Next, we square (^2) the radius, and we get 64 (r^2 = r * r = 8*8 = 64)

3) Finally, we multiply π by 64, and we get 200.96 cm^2 (3.14 * 64) which is very close to 201 cm^2.

Which is a correct name for the angle shown?
А
B
С
Ο <Α
0 O О <СВА

Answers

Answer:

<CBA

Step-by-step explanation:

trust:)))))))))))))

8pq + 20qr – 16s factorise plz

Answers

Answer:

4(2qp + 5qr - 4s)

Step-by-step explanation:

8pq + 20qr – 16s

we can use 4 as a common factor between these numbers.

8/4 = 2

20/4 = 5

16/4 = 4

so

4(2qp + 5qr - 4s) is the most factorized answer we can get

1. is XY tangent to circle Z?​

Answers

Answer:

Line segment U V is a secant Line segment X Y is a tangent and intersects the circle at point U

Step-by-step explanation:

The required, XY is tangent to Circle Z, as of the given condition.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
From the diagram, we can use the Pythagorean theorem to justify whether XY is tangent to the circle Z, because if XY is the tangent then XYW is the right triangle.

So,
XY² = XW² + WY²

Substitute the value in the above expression,
16² = [2×6.4]² + 9.6²
256 = 256

Thus, XY is tangent to Circle Z.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

I believe it is D.

Step-by-step explanation:

This shows all the combinations of the dice roll as could go along with any of the coin toss solutions.

I hope I didn't confuse you lol! Hope this helps :)

Which is the length of the hypitenuse?

Answers

Answer:

20

Step-by-step explanation:

the length of the hypotenuse of a right triangle can be found using the Pythagorean theorem which states that the square of the length of the hypothesis equal the sum of the square of the length of the other two sides

SIMPLEE!!! WRITE AN EXPRESSION!

Answers

2s+2(s-7). Would be an equation. Hope this helps:)

Use the transformation uequals=x plus 6 yx+6y​, vequals=y minus xy−x to evaluate the given integral by first writing it as an integral over a region G in the​ uv-plane. ModifyingAbove Modifying Below Integral from nothing to nothing With four sevenths width 0 ModifyingAbove Modifying Below Integral from nothing to nothing With 4 minus 6 y width y (x plus 6 y )e Superscript (y minus x )Baseline dx dy

Answers

Answer:

Step-by-step explanation:

if i know

A laptop case is 24 inches long and 18 wide. Find the diagonal length of case in feet. Round your answer to the nearest tenth.

Answers

Answer:

2.5 feet

Step-by-step explanation:

According to the problem, computation of given data are as follows,

Length = 24 inches = 2 feet ( 1 feet = 12 inches)

Width = 18 inches = 1.5 feet  ( 1 feet = 12 inches)

So, we can calculate the diagonal length by using Pythagorean Theorem.

[tex]L^{2} + W^{2} = D^{2}[/tex]

Where, L is length, W is width, and D is diagonal length

So, by putting the value, we get

[tex]2^{2} + 1.5^{2} = D^{2}[/tex]

[tex]D^{2} = 4 + 2.25[/tex]

[tex]D = \sqrt{6.25}[/tex]

D = 2.5 feet

Hence, diagonal length is 2.5 feet.

At a sport clubhouse the coach wants to rope off a rectangular area that is adjacent to the building. He uses the length of the building as one side of the area, which measures $$23 meters. He has at most $$35 meters of rope available to use.

Answers

Answer: 6 meters

Step-by-step explanation:

The question is to form an inequality to solve for the possible widths that the roped area could have.

Let the width be denoted as w.

23 + 2w = 35

2w = 35 - 23

2w = 12

w = 12/2

w = 6

Therefore, the width is 6 meters

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