A square is cut out of a circle whose diameter is approximately 14 feet. What is the approximate area (shaded region) of the remaining portion of the circle in square feet? ( where A=rrx2 rr =3.14

Answers

Answer 1
Answer:

Answer: 56 square feet

Step-by-step explanation:

When a square is inscribed within a circle, the side length of the square is equal to the diameter of the circle, divided by the square root of 2, this is the same as a square being cut out of the circle.

This means that area of the square = ((14)/(√(2) )) ^(2)

= 98 square feet

Area of the circle is \pir^(2)

= 3.142 X 7 X 7

= 153.958

Area of the remaining portion will be Area of the circle - Area of the square , that is

153 . 958 - 98

= 55. 958

≈ 56 square feet


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length of a room is 3 times its breadth and height is 4.6 m.if the total cost of carpeting the floor of a room at the rate of Rs. 60 per square meter is Rs. 4500,Find the total cost of papering the 4 walls at the rate of Rs. 6.​

Answers

The total cost of papering the 4 walls is Rs. 1104

Step-by-step explanation:

The given is:

  • The length of a room is 3 times its breadth
  • Its height is 4.6 m
  • The total cost of carpeting the floor of a room at the rate of Rs. 60 per square meter is Rs. 4500

We need to find the total cost of papering the 4 walls at the rate of Rs. 6

Assume that the breadth of the room is x m

∵ The length of the room is 3 times its breadth

∵ The breadth of the room is x m

∴ The length of the room is 3 x m

∵ The floor of the room is shaped a rectangle

- Area of the rectangle = length × breadth

∴ The area of the floor = (3 x) × (x) = 3 x²

∵ The rate of the carpeting is Rs. 60 per square meter

- Multiply the area of the floor by 60 to find the total cost of carpeting

∴ The total cost of carpeting = 3 x²(60) = 180 x²

∵ The total cost of carpeting the floor is Rs. 4500

- Equate the two sides of total cost to find x

180 x² = 4500

- Divide both sides by 180

∴ x² = 25

- Take √ for both sides

x = 5

∴ The breadth of the room = 5 m

∵ The length of the room is 3 x

∴ The length of the room = 3(5) = 15 m

The four walls of the room has dimensions length × height , breadth × height , length × height , breadth × height ⇒ (each two opposite walls have same dimensions)

∵ The length = 15 m , breadth = 5 m , height = 4.6 m

∴ The area of the four walls = 2(15 × 4.6) + 2(5 × 4.6)

∴ The area of the four walls = 138 + 46

∴ The area of the four walls = 184 m²

∵ The rate per meter square of papering is Rs. 6

- Multiply the area of the four walls by 6 to find the total cost

  of papering

∴ The total cost of papering = 184 × 6

∴ The total cost of papering = Rs. 1104

The total cost of papering the 4 walls is Rs. 1104

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Below are the data collected from to random samples of 100 members of a large travel club regarding the type of vacation they prefer. Which of the following inferences can be made based o the data

Answers

More members prefer a beach vacation and a ski vacation than a cruise vacation



Answer:

b

Step-by-step explanation:

Is 351,800 bigger than 605,908

Answers

Hey there! Let me help you out!

No, this is not true. The answer to your question is: 351800<605908. This means that 605908 is bigger than 351800. To find this out, count how many digits there are in both the numbers. The number with more digits is bigger than the other number. If both the numbers have the same number of digits, then see the starting number of each number and so forth, if they are the same. For example, for this question, count how many numbers there are in each number. They both have 6 numbers so u can't make out anything from that. Next see the starting number for each of them. In 351800, the starting number is 3. In 605908, the starting number is 6. Since 6 is larger than three, 605908 is bigger than 351,800.

Thank you! Hope it helps!

Add (11x + 2) + (9x - 4)

Answers

Answer: 2 • (10x - 1)  

I hope this helps;)

Can someone please help me ? I would greatly appreciate it ! Thank you in advance

Answers

X= 96
Y=84


a straight line equals 180 so you just subtract that number from it for X, for Y the diagonal number is equal so its just the same as the one acrossed from it

Howto multiply 30 times 30 HELP

Answers

30=3 times 10 right so
30 times 30=3 times 10 times 3 times 10=3 times 3 times 10 times 10
we know that 3 timmes 3=9
and 10 times 10 is 100
so 30 times 30=9 times 100=900
Here is a way I was thought with zeroes, first do 3x3 which is 9 then since there are 2 zeroes you tack on 2 zeroes at the end to get 900. Hope this helped.