A square with sides 8 inches in length has a circle inscribed in it. The circle has a radius of 4. What is the area of part of the square not in the circle.

Answers

Answer 1

16π−32

Explanation:  

To get the area inside the circle but outside the square, we simply get the difference of their areas.

Ac=r2π=42π=16πA square is also a rhombus (with equal diagonals), so we can use the formula for the area of the rhombus. What do we use as the value of the diagonal? The diameter of the circle!As=12d1d2=12d2=12(82)=12(64)=32

Hence, A=16π−32 If you think you won't be able to remember the formula of the rhombus, we can go the usual way of getting the area of the square.As=s2Now, we need to find the length of the side. To do this, we can form an imaginary right isosceles triangle with the radius of the circle as legs and the side as the hypotenuse. How do we know the triangle is right? It's a property of a square, the diagonals form a right angle.Now, we use the Pythagorean theorem to get the side,

c2=a2+b2=2a2=2(42)=32⇒c=4√2

Now we can get the area of the square.As

=s2=(4√2)2=32Hence, A=16π−32


Related Questions

Please help! 10 points! I will give brainliest!

Answers

Example 1: Patients can schedule a hospital visit using their mobile phones and check if their doctor's office is open. This way, they don't need to waste their time going to a hospital only to be informed that a doctor can't see them.

Example 2: Fitness gadgets such as Fitbit bring personal training sessions and exercise routines to you wherever you are. Devices like them can help you monitor your daily habits, such as sleep patterns and how much movement you need per day. This can help motivate you to maintain a healthy lifestyle.

Hope this helps! Good luck with future work!

At the coast on a summer day, the land is hotter than the ocean. Warm air over the land rises and is replaced by cooler air, causing a sea breeze. At night, the land cools quickly and the ocean is now warmer than the land. What will happen next

Answers

Answer:

The hot air above the ocean start rising

Explanation:

At the night when the temperature of land falls quickly as compared to that of ocean, then the hot air above the ocean start rising. Hence, the oceans remain warm at cold temperature as compared to that of land because they do not loose heat easily. Also, they do not absorb heat easily due to which they remain cooler than land.

What can you infer about the natural habitat of grays squirrels? Explain your reasoning

Answers

Answer:

The eastern gray squirrel (Sciurus carolinensis), also known as the grey squirrel depending on region, is a tree squirrel in the genus Sciurus.

Explanation:

It is native to eastern North America, where it is the most prodigious and ecologically essential natural forest regenerator.

Information:

Widely introduced to certain places around the world, the eastern gray squirrel in Europe, in particular, is regarded as an invasive species.

Tips:

The grey squirrel (Sciurus carolinensis) is from Eastern North America

I hope this answers help you! :>

Which factor is a primary cause of the change illustrated on these maps?

Answers

Answer:

erosion

Explanation:

it is only possible if the eroSion process. takes place


Pretend you are employed at national environment protection agency. In a Meeting with the citizen of your community name two ways in which they can protect the environment using green technology​

Answers

Answer:

ways in which green technology can be used to protect the environment:

By using various machines to remove excess grasses.Picking up all used items such as used bottles, cans, papers, wrapping biscuit packets, etc . And doing all this on a fixed date every week or month as desired

Which soil is an extremely leached version of nitosols​

Answers

What he said is correct

Which of the following terms describes a family structure headed by a woman?
extended
nuclear
patriarchal
matriarchal

Answers

The term that describes a family structure headed by a woman is matriarchal.

What is matriarchal?

matriarchal serves as the term that is used in referring to the system of society or government which has  woman as the head and authority.

In this case,  it can be as family structure headed by a woman.

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Answer:

b

Explanation:

1. All of the following are ways to show information on a map except--

A. Symbols

B. Themes

C. Contours

Answers

Answer:

The answer is C I'm just typing randomly so it can go through but the answer is C

i think it is Contours.

Fast please help meee

Why has Switzerland not fought in a war since 1515?

A. It has a fearsome military

B. It claimed neutrality

C. It is allies with almost all other countries

D. No one wants its territory
estion 32​

Answers

Answer:

This policy is self-imposed, permanent, and armed, designed to ensure external security and promote peace. Switzerland has the oldest policy of military neutrality in the world; it has not participated in a foreign war since its neutrality was established by the Treaty of Paris in 1815.

Answer:

The answer is BBBBBBBBBBBBBBBBBBB

Explanation:

Brainloest plz

Which soil is an extremely leached version of nitosols?​

Answers

Answer:

laterite , I hope this helps

Laterite soil is an extremely leached version of nitosols. It is widely believed that hot, humid tropical regions are where laterite, a soil and rock type rich in iron and aluminium, developed.

What type of soil is laterite?

It is widely believed that hot, humid tropical regions are where laterite, a soil and rock type rich in iron and aluminium, developed. Due to its high iron oxide concentration, nearly all laterites are rusty-red in hue. Laterite is an iron oxide-rich soil layer that forms as a wide range of rocks weather under highly oxidizing and leaching circumstances.

Tropical and subtropical locations with humid climates are where it develops. Both laterite and laterite rocks are frequently used interchangeably. Calls for the name to be dropped are a result of these and other variations in how laterite is conceptualized (such as also as a comprehensive weathering profile or weathering theory).

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what is antipodal balance between land and water?

Answers

Answer: hope it helps.

Explanation: There is an antipodal balance of land and water on directly opposite sides of the globe. It means that the continents and oceans are roughly arranged in such a way that land on one side of the globe is balanced by water on the opposite side of the globe.

This answer helped me thank you

6 quais são as capacidades físicas?​

Answers

capacidade aeróbia, estrutura corporal, composição corporal, equilíbrio, flexibilidade e força muscular.

Let's talk about geography of the united states
Where is it located, what are its limits, what is its climate, the way of life of its inhabitants, etc.

Answers

Answer:

1. Location: America is located on the North American Continent. The United States of America is bordered by the Pacific Ocean, the Atlantic Ocean, Canada to the north, and Mexico to the south.

2. Its limits: U.S. primacy comes with opportunity costs. An alternate path might have delivered a comparable level of security at far less expense and risk. Even many who unabashedly celebrate our 20‐​year “unipolar moment” admit that their approach is costly and that it cannot last forever. They were the ones, after all, who dubbed it but a moment.

3. Climate: the U.S. has a cold semi-arid climate in the interior upper western states, to warm to the hot desert and semi-arid climates in the southwestern U.S. East, the climate is humid continental in northern areas.

4. Life of inhabitants: the United States 2020 population is estimated at 331,002,651 people at mid-year according to UN data. the United States population is equivalent to 4.25% of the total world population. the U.S.A. ranks number 3 in the list of countries (and dependencies) by population.

Which of the following is not true? Longshore currents always move in the same direction. Wind, waves and tides are among the factors that can affect the direction of longshore currents. Longshore currents frequently move in the same direction as permanent offshore currents. Local dive operators are a good source of information on the behavior of longshore currents.

Answers

Answer: Longshore currents always move in the same direction.

Explanation:

The movement of Longshore currents are affected by a variety of factors such as wind, waves and tides so the second option is a true statement.

Longshore currents generally follow the direction of Permanent offshore currents as they approach the coast so this is a true statement as well.

Local dive operators would have extensive knowledge of the area they work in because it is their job to know so they will definitely be good sources for information on the behavior of Longshore currents so this is another true statement as well.

Longshore currents however DO NOT always move in the same direction. As they are impacted by the factors listed above, they can move in different directions and can even more in reverse.

describe the human and physical features of the horn of africa

Answers

Answer:

The Horn of Africa also refers to the form of the region as it is like a rhinoceros horn from the African continent. The Horn of Africa has two major geographical features: the valley of the NILE river and the enormous RIFT valley that is sliced from north to south. High plateaus and rough volcanic mountains exist between these two characteristics. The large and extensive SAHARA DESERT stretches west of the White Nile River.

Explanation:

what three points does the axis go through​

Answers

Answer:

In order to represent points in space, we first choose a fixed point O (the origin) and three directed lines through O that are perpendicular to each other, called the coordinate axes and labeled the x-axis, y-axis, and z-axis.

or did you forget to put the picture

hope this helps

have a good day :)

Explanation:

The swiss did not like Austrian Emperors rulling their land. In 1291 , three contons agreed to fight togetherto protect themselves form the emperor . What is a canton ? Whatdid three cantons form

Answers

Answer:

Canton is a subdivision of a country, In 1291 The three cantons form now as central Switzerland

Explanation:

The canton means it is a sub division of a country set up for administration and political purpose.

After 1291 treaty the three cantons Uri, Schwyz, Unterwalden now form a central Switzerland

Answer:

In

, the first cantons became independent of Austria in 1291.

Explanation:

I found a bed bug in my room. I told my mom and she blamed me Bc my room wasn’t clean. Yeah, I been not cleaning up. And she thinks that bed bugs only come at night. So, yesterday I slept in the living room. In the morning I got blamed and she said that’s why you should clean your room. Then I went in my room SCARED Bc my mom told me too, and I’m scared that it would be more. So I went back in the living room, and I felt anxious like I have to throw up. But my mom saw me and said I was being hard headed and I told her I was scared. Then she said that IT NO MORE BED BUGS IT WAS JUST ONE. Also I forgot to tell y’all that my dad look under the my mattress and it wasn’t anymore. BUT BED BUG ALSO HIDE IN OTHER PLACES TOO.

But I need advice, how do I know if there’s anymore bed bugs. Also I never gotten bed bugs before sooo what are the signs? If there is signs what do it look like???

Answers

Answer:

I don't think it was because your room wasn't clean. The main cause of bed bugs is travel, which means most likely you got one on you when you went outside or something, and you accidentally got it into your room. Bed bugs hitchhike on luggage, clothing, people, etc.

If there are blood stains or dark/rusty spots on your bed/pillow, there are definitely bed bugs. The bloodstains/spots come from you crushing the bed bugs accidentally. The place where bed bugs are (in this case, your room), may also begin to smell bad. You might also see eggs laid by the bed bugs.

Let me know if you have any other questions. Good luck!

Provide food to the growing plant?​

Answers

if you're asking how plants get or "gain" food, plants create their own food from nutrients.. their roots take up their water and also minerals from the ground and the leaves absorb carbon dioxide also known as CO2,the sun converts all that food by its natural sunlight.

hii! i’ll give brainliest pls help

Answers

Landslides Ana dabbir فلستيني

Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7} 7 22 ​ start fraction, 22, divided by, 7, end fraction for \piπpi.

Answers

Answer:

1,437.33

Explanation:

Volume of a sphere = 4/3πr³

π = 22/7

r = 7

Volume of a sphere = 4/3πr³

= 4/3 * 22/7 * 7³

= 4/3 * 22/7 * 7 * 7 * 7

= (4 * 22 * 7 * 7 * 7) / (3 * 7)

= 30,184/21

= 1437.3333333333

Volume of a sphere = 1,437.33

HELP THIS IS DUE LIKE RIGHT NOW PLEASE HELP!

Cutting down trees to create a new housing division is an example of __________

A: Environmental Destruction
B: Human environmental interaction
C: Erosion
D: Desertification

Answers

The answer is B I believe so

Explain how internal migration contributes to the decline of indigenous language

Answers

Answer:

Due to decrease in the population of people who speaks indigenous language.

Explanation:

Internal migration greatly contributes to the decline of indigenous language because the people who speak the indigenous language migrated to other regions and there are very less number of people who speak that indigenous language so we can say that Internal migration is responsible for the decrease of indigenous language. If we have to promote indigenous language so we have to reduce internal migration of people.

Answer is below:

Please mark me brainliest answer

what are the three types of materials that affect light differently

Answers

Answer:

Explanation:

The purpose of this lesson is for the students to learn that light interacts differently with different types of materials. Students will be able to categorize materials into 3 categories based on how the light interacts with those materials: transparent (light shines through), translucent (some light shines through, and opaque (no light shines through).

Answer:

Glass, plastic, mirrors="If a material is a light colour or has a smooth surface, more light will be reflected. Shiny opaque materials, such as mirrors, reflect most of the light that strikes them. If a material is a dark colour or has a rough surface, more light will be absorbed. Opaque objects that absorb light also become warm."

:) mark me plz

In which geographical element do ecosystems reside?

Answers

Answer:

The study of the earth's ecosystems is also part of the physical systems element. This element includes the ways that human actions modify the physical environment. It also considers the affect that physical systems, such as landforms and weather, have on human systems.

17. What does the land look like 320,000,000 years ago?|

Answers

Answer:

vast the land looks vast

What is the mass of the table tennis ball that accelerated at 5m/s² when 0.5N force is applied.​

Answers

Answer:

it is the answer but I don't know the unit

Asac atlleram is in which city?

Answers

Answer:

salt lake city

Explanation:

ASAC is abbreviated for Administrative Science Association of Canada.

It is a professional body which brings together people who are interested in research and innovations.

It was found in 1957 in the Edmonton, city of Canada.

They have their office at Canada where they gather people who are interested in teaching and management practices.

It provides a platform to people who can exchange their valuable ideas with each other.

Learn more at https://brainly.com/question/21796781

what form of agriculture js most common in somalia? intensive or extensive? subsistence or commercial?

Answers

Answer:

Intensive subsistence

Explanation:

Somalia lies with in the  development region of industrial growth and hence they cannot carry out farming at a large scale. Since they have small farmlands, they cultivate crops for the intensive and rapid reclamation of the whole.

Hence, the possibility of agriculture is Intensive subsistence

Help please, need it right now.​

Answers

Answer:

Earth

Explanation:

our sun is the only sun that we know the distance if, so if we know the distance of our sun we can figure out different distances of space

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