All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
ACT Exam  >  ACT Questions  >  A square pool with an area of 81 square feet ... Start Learning for Free
A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?
  • a)
    81
  • b)
    233
  • c)
    315
  • d)
    396
  • e)
    Cannot be determined without knowing the exact placement of the pool
Correct answer is option 'B'. Can you explain this answer?
Clear all your ACT doubts with EduRev
Most Upvoted Answer
A square pool with an area of 81 square feet is to be placed entirely ...
To determine the approximate area of the enclosure that will be tiled, we need to find the difference between the area of the circular enclosure and the area of the square pool.

1. Find the area of the square pool:
Since the pool is square, the area is given by the formula side^2.
Given that the area of the pool is 81 square feet, we can find the side length by taking the square root of 81.
√81 = 9 feet

2. Find the area of the circular enclosure:
The area of a circle is given by the formula πr^2, where π is a constant (approximately 3.14) and r is the radius.
Given that the radius of the enclosure is 10 feet, we can calculate the area as follows:
π(10)^2 = 100π square feet

3. Find the area of the tiled enclosure:
To find the area of the enclosure that will be tiled, we subtract the area of the square pool from the area of the circular enclosure.
100π - 81 square feet

4. Approximate the area:
To approximate the area, we can use the value of π as approximately 3.14.
100(3.14) - 81 = 314 - 81 = 233 square feet

Therefore, the approximate area of the enclosure that will be tiled is 233 square feet.
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
A square pool with an area of 81 square feet is to be placed entirely ...
Since the area of the square pool is given, you must find the area of the circle, with a radius of 10, and subtract the area of the pool. The area of a circle is equal to πr2, where r is the radius. The area of this circle is 102π = 100π ≈ 314 square feet. Thus the area of the enclosure is approximately 314 − 81 = 233 square feet.
Explore Courses for ACT exam

Similar ACT Doubts

Directions:In the passages that follow, some words and phrases are underlined and numbered. In the answer column, you will find alternatives for the words and phrases that are underlined. If you think that the original version is best, choose “NO CHANGE,”. You will also find questions about a particular section of the passage, or about the entire passage. These questions will be identified either by an underlined portion or by a number in a box. Look for the answer that clearly expresses the idea, is consistent with the style and tone of the passage, and makes the correct use of standard written English. Read the passage through once before answering the questions. For some questions, you should read beyond the indicated portion before you answer.PassageThe Deer FenceA family emergency took us across the country for several weeks during the spring of (1) that year. We had left our first vegetable garden in the midst of early growing season, a time when (2) careful monitoring of emerging seeds is essential to ensure their vitality. Only a serious family matter would have (3) as an instigation for such a departure.We arrived home three weeks later (4) to witness an incredible transformation (5) upon our return. Not only had the broccoli stalks and scarlet radishes come to bear fruit, but (6) they are the local deer population had decided to make a meal of our freshly sprouted crop. Deer do not use a freshly sharpened kitchen knife to remove delicious morsels from their stems. Rather, the animals gnaw and shred at the plants with their vegetarian teeth, leaving a mess of rejected foliage, hoof prints, and raw vegetable soup. (7)Our four-foot twig garden fence suddenly appeared comical and (8) humorously purely decorative. There was obviously a lack of real (9) deterring qualities, that needed to be remedied quickly. Even though we were now back home to stand guard, our absence had inadvertently established our kitchen garden as a food plot for the nearby wildlife. Deer are typically night eaters, and we weren’t about to change our own sleeping patterns to accommodate them! Stopping the deer would (10) require a concerted, multi-pronged approach.(11) Following a tedious journey to the local hardware store, we assembled our army’s ammunition: 350 feet of chicken wire; a box of four-inch screws; neon-orange plastic ribbon; and a heavy duty staple gun. Unrolling a 350-foot roll of chicken wire is no easy task. Constructing the bottom tier of the fence was (12) just as daunting; one person unrolled the four-foot wide tube while another person followed behind, stapling the chicken wire to the existing fence posts. Tackling the second row was another story altogether. Since our original posts were a mere four feet high, each post needed a four-foot extension attached to it, followed by another round of chicken wire.After hours of back-breaking work, we stood back to admire (13) this new fence. The big test would come when darkness fell. Deer can and will leap over an eight-foot barrier if necessary, but our saving grace would be the intimidation factor of our new fence, with its metallic outline glinting in the moonlight and neon-orange tags flapping in the wind. (14) Swift and beautiful leapers, the newness and appearance of the enclosure should nonetheless serve to frighten away our backyard deer.It has been two months since the transformation of our little twig-fenced garden into a chicken-wired vegetable prison. Each night we sit down (15) to the likes of delicious sweet corn, baked zucchini, tomato and cucumber salad, and snap beans. No broccoli or radishes this year, but we’re already discussing the blueberry bushes and strawberry plants for next year. First, though, we will give some serious thought to the black bears that live in our woods.Q.(14)

Directions:In the passages that follow, some words and phrases are underlined and numbered. In the answer column, you will find alternatives for the words and phrases that are underlined. If you think that the original version is best, choose “NO CHANGE,”. You will also find questions about a particular section of the passage, or about the entire passage. These questions will be identified either by an underlined portion or by a number in a box. Look for the answer that clearly expresses the idea, is consistent with the style and tone of the passage, and makes the correct use of standard written English. Read the passage through once before answering the questions. For some questions, you should read beyond the indicated portion before you answer.PassagePuzzling NumbersThe Japanese number game Sudoku has taken the world (1) with storm. While crossword puzzles seem to be the game of choice, (2) they need only sit in an airport or doctor’s office in any city to see how Sudoku is slowly overtaking the popular word game.In the most common game of Sudoku, the player is faced with a nine-by-nine space grid with a total of 81 spaces. The solution to the puzzle requires a number, one through nine, to be placed in each box. (3) Each number must appear only once in each row and only once in each column. A Sudoku puzzle will begin with a few digits already in place. The solver’s (4) task, is to figure out which numeral belongs in the remaining empty spaces. While being a math whiz is no requirement for this seemingly simple process, a level of logic and reasoning (5) is necessary in order to choose the correct number for each space. As with most such activities, practice makes perfect with Sudoku. The puzzles that seem impossible at first glance (6) eventual become more manageable.The name Sudoku is derived from the phrase single number in the Japanese language. (7) Nevertheless, its definition refers to the placement or allotment of a single number. This puzzle is aptly (8) named, since the misplacement of a single number spells the beginning of an incorrect solution. For this reason, Sudoku (9) should have been played using a pencil with a good eraser.It is nearly impossible to discern (10) which number the solver has placed incorrectly once an error is discovered. If you don’t have a pencil, use a pen to write the digit as a series of light dots. This way, (11) should you make a mistake, you can retrace your steps to locate and correct the original errant placement.There are certain strategies involved in solving a Sudoku puzzle, including the process of elimination. For example, if a row of nine spaces already has the number 4, that row cannot contain another 4. This goes for columns as well. The solver can use these clues and a bit of deduction to limit the possible combinations of numbers. By attacking the puzzle using (12) logic, you can turn the process into an amusing challenge rather than an impossible task.1. The origin of Sudoku is attributed to Leonhard Euler, the Swiss mathematician who (13) sometimes developed the game Magic Squares in 1783.2. In fact, Euler’s game was actually based on a game derived from Chinese folklore.3. The primary difference between Magic Squares and Sudoku is that Euler’s game has no grid dividing the puzzle and it is somewhat easier to solve, since there are multiple possibilities for a solution.4.In true Sudoku, each puzzle has only one solution.5. The puzzle’s difficulty varies according to the number of digits that are initially provided.6. When faced with a puzzle with only one 3 provided, for example, you can be sure that it will be more difficult to solve than a puzzle that already has half of the numbers placed in the correct boxes. (14)One has only to examine a local newspaper to ascertain the popularity of this addictive brain teaser. Where comics and crossword puzzles reign supreme, it is often easy to locate a grid of spaces and numbers tucked off in a corner, or even sitting boldly next to the time-honored crossword.Q. (13)The best placement for the underlined portion would be

Directions:Read the passages and choose the best answer to each question.PassageA pluvial lake is an ancient lake with high water levels, generally associated with times of high precipitation. Lake Bonneville was a prehistoric pluvial lake that covered much of North America’s Great Basin region during the last ice age (see Figure 1). Most of the territory it covered was in present-day Utah, though parts of the lake extended into present-day Idaho and Nevada. Formed about 32,000 years ago, it existed until about 16,800 years ago, when most of the contents of the lake were released through the Red Rock Pass in Idaho.At more than 1,000 feet (305 m) deep and more than 19,691 square miles (50,999.5 km2 ) in area, Lake Bonneville was nearly as large as Lake Michigan and significantly deeper. Over time, increasing temperatures in North America caused the lake to begin drying up, leaving Great Salt Lake, Utah Lake, Sevier Lake, Rush Lake, and Little Salt Lake as remnants. While each of these lakes is considered a freshwater lake, the salinity levels are higher than normal. Figure 2 shows a cross-section of part of Utah Lake and its sediment and bedrock, with measurements taken at the cities of Genola and Provo and two test sites in between.Q.According to the passage, Lake Bonneville existed in its entirety for approximately how many years?

Directions:Read the passage and choose the best answer to each question.PassageScientists theorize that the release of X-rays by distant stars and the amount of distortion or “bending” the X-rays endure as they travel out of their solar system can help indicate the presence of planets orbiting these stars. The distortion of the X-rays would be caused by the gravitational pull exerted by the planets. Specifically, high ‘bending’ in these rays would indicate the presence of large planets, while a low level of bending would most likely signify the presence of smaller planets.In addition to determining whether or not there are planets circling a distant star, the amount of X-ray distortion can determine the planets’ orbital pattern. A circular orbit produces increasing or decreasing distortions of the same level.For instance, if a star’s X-rays are bent 1 meter the first day, 2 meters the fourth day, 4 meters the seventh day, and so on, it indicates a circular orbit. See Figure 1. If however, the pattern of bending is random, as in a bending of 5 meters the first day, 3 meters the second day, 0 meters the third day, and 7 meters the fourth day, then the planet’s orbit is elliptical. See Figure 2. Further, if the paths of the X-rays are not bent in any way, it is assumed that the star lacks any planets.Table 1 shows the amount of distortion of X-rays released by 4 different stars over a period of 10 days.Q.Based on the information in the passage, how many of the stars listed in Table 1 have at least one planet with a circular orbit?

Directions:Read the passage and choose the best answer to each question.PassageScientists theorize that the release of X-rays by distant stars and the amount of distortion or “bending” the X-rays endure as they travel out of their solar system can help indicate the presence of planets orbiting these stars. The distortion of the X-rays would be caused by the gravitational pull exerted by the planets. Specifically, high ‘bending’ in these rays would indicate the presence of large planets, while a low level of bending would most likely signify the presence of smaller planets.In addition to determining whether or not there are planets circling a distant star, the amount of X-ray distortion can determine the planets’ orbital pattern. A circular orbit produces increasing or decreasing distortions of the same level.For instance, if a star’s X-rays are bent 1 meter the first day, 2 meters the fourth day, 4 meters the seventh day, and so on, it indicates a circular orbit. See Figure 1. If however, the pattern of bending is random, as in a bending of 5 meters the first day, 3 meters the second day, 0 meters the third day, and 7 meters the fourth day, then the planet’s orbit is elliptical. See Figure 2. Further, if the paths of the X-rays are not bent in any way, it is assumed that the star lacks any planets.Table 1 shows the amount of distortion of X-rays released by 4 different stars over a period of 10 days.Q.According to information in the passage, which of the following assumptions could be true?

Top Courses for ACTView all

Top Courses for ACT

A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?a)81b)233c)315d)396e)Cannot be determined without knowing the exact placement of the poolCorrect answer is option 'B'. Can you explain this answer?
Question Description
A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?a)81b)233c)315d)396e)Cannot be determined without knowing the exact placement of the poolCorrect answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?a)81b)233c)315d)396e)Cannot be determined without knowing the exact placement of the poolCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?a)81b)233c)315d)396e)Cannot be determined without knowing the exact placement of the poolCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?a)81b)233c)315d)396e)Cannot be determined without knowing the exact placement of the poolCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT. Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?a)81b)233c)315d)396e)Cannot be determined without knowing the exact placement of the poolCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?a)81b)233c)315d)396e)Cannot be determined without knowing the exact placement of the poolCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?a)81b)233c)315d)396e)Cannot be determined without knowing the exact placement of the poolCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?a)81b)233c)315d)396e)Cannot be determined without knowing the exact placement of the poolCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?a)81b)233c)315d)396e)Cannot be determined without knowing the exact placement of the poolCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice ACT tests.
Explore Courses for ACT exam

Top Courses for ACT

Explore Courses
SaveJoin the Discussion on the App for FREE
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup