1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DerKrebs [107]
3 years ago
15

AREA, PERMITER AND VOLUME QUESTIONS.

Mathematics
2 answers:
castortr0y [4]3 years ago
8 0

Answer:


Step-by-step explanation:

(A) The radius of the circle is=1.8m

Then  diameter will be: 2r=2{\times}1.8=3.6 m

Circumference of circle= {\pi}d=3.14{\times}3.6=11.304 m

Area of the circle={\pi}r^{2}=3.14{\times}(1.8)^{2}=10.17 m^{2}

(B) The area of the rectangular backboard of basketball court = 18900cm^{2}

Width=180cm

Area of rectangle= l{\times}b[/tex]

18900=l{\times}180[/tex]

l=105 cm=1.05m

Perimeter of the seating space=2(l+b)

=2(32.5+18.4)

=101.8 m

Perimeter of the basketball court=2(l+b)

=2(15+28)

=86 m

Now, total perimeter= perimeter of the basketball court+perimeter of the seating space.

Total perimeter=101.8+86=187.8 m

Area of the seating space=l{\times}b

=32.5{\times}18.4=598 m^{2}

(C) The shape consists of one square and 4 triangles, therefore area of square= (side)^{2}=(3)^{2}=9 m^{2}

Area of 4 triangles=4{\times}(\frac{1}{2}{\times}B{\times}H)

=4{\times}(\frac{1}{2}{\times}3{\times}2)=12m^{2}

Area of the shape= Area of the square+ area of the 4 triangles

=9+12=21m^{2}

(D) Perimeter of rectangle with length=40 m (After converting cm to m) and breadth= 10 m is given by: 2(l+b)=2(40+10)=100 m

Perimeter of rectangle with length 68 m and breadth=33 m is given by:2(l+b)=2(68+33)=202 m

Perimeter of  the semicircle=\frac{{\pi}d}{2}=\frac{3.14{\times}34}{2}=53.38 m

Total perimeter= 100+201+53.38=355.38 m

Area of rectangle with length=40 m (After converting cm to m) and breadth= 10 m is given by:l{\times}b=40{\times}10=400 m^{2}

Area of rectangle with length 68 m and breadth=33 m is given by:l{\times}b=68{\times}33=2244 m^{2}

Area of the semi circle=\frac{{\pi}r^{2}}{2}=\frac{3.14{\times}17^{2}}{2}=453.73 m^{2}

Total  area= 400+2244+453.73=3097.73 m^{2}

irina1246 [14]3 years ago
3 0

Answer:

1.

<u>Part 1</u>: Circumference is 11.31 meters

<u>Part 2</u>: Area is 10.18 square meters


2.

<u>Part 1:</u> Backboard's Length = 1.05 meters

<u>Part 2:</u> Perimeter is 187.8 meters

<u>Part 3:</u> Area of seating space is 178 square meters


3. Area is 21 square meters.


4.

<u>Part 1:</u> Perimeter is 255.41 meters

<u>Part 2:</u> Area is 3097.97 square meters.


Step-by-step explanation:


<u>Question 1:</u>


<u>Part 1:</u>

The formula for the circumference of a circle is given by:

C=\pi d\\C=\pi (2r)\\C=2\pi r

Where radius (r) is half of diameter (d)

Since radius of the circle shown in 1.8m, we plug it in the formula and get:

C=2\pi r\\C=2\pi (1.8)\\C=11.31

So C = 11.31 meters


<u>Part 2:</u>

The area of the circle is given by the formula:

A=\pi r^2

Where A is the area and r is the radius

Since we know r = 1.8, we plug it in the formula and find area:

A=\pi r^2\\A=\pi(1.8)^2\\A=10.18

Area is 10.18 sq. meters.



<u>Question 2:</u>

<u>Part 1:</u>

Area of a rectangle is length * width

width is given in 1.8 m, which in cm, is 1.8 multiplied by 100, so we have

1.8*100=180cm

To find Length, we plug area equal to 18,900 and width equal to 180 cm and solve:

A=length*width\\18,900=length*180\\length=\frac{18,900}{180}\\length=105

Length is 105 cm, in meters, we divide by 100, to get \frac{105}{100}=1.05

Backboard's Length = 1.05 meters

<u>Part 2:</u>

Perimeter means the sum of all the sides of the figure (however many sides it might have). If you look at the seating space, it has 8 sides, 4 of the outer sides and 4 of the inner sides. We just add all of them to get the perimeter.

Perimeter = 18.4+32.5+18.4+32.5+15+28+15+28=187.8

Thus the perimeter is 187.8 meters

<u>Part 3:</u>

Area of the seating space can be written as:

Area of seating space = area of big rectangle - area of basketball court

Area of big rectangle is length * width = 18.4*32.5=598

Area of basket ball court is length * width = 15*28=420

Now,

Area of seating space = 598 - 420 = 178 square meters.



<u>Question 3:</u>

Area shape consists of 4 same triangles (with base of 3 and height of 2) & 1 square (with side 3) in the middle.

To get the area of the shape we add area of 4 triangles & area of square.

Area of 1 triangle is

A=\frac{1}{2}*b*h=\frac{1}{2}*3*2=3

Area of 4 of the triangles is

4*3=12

Now, area of square is given by (side * side):

A=s^2=3^2=9

Area of square is 9

Hence, area of shape = 12+9=21 square meters


<u>Question 4:</u>

<u>Part 1:</u>

The perimeter is sum of all the sides of the figure. If we start from left side (4000cm) and go clockwise, we can identify all the sides.

  • Starting side is 4000 cm side. 4000cm divided by 100 (to get it into meters): 40 m
  • top is 10 m and 68 m = 78 m
  • right side is 33 m
  • then we have semicircle, since whole circle's circumference (perimeter) is 2\pi r, semicircle's perimeter is half of that so  \frac{2\pi r}{2}=\pi r=\pi (17)=53.41m
  • then a side of 34 m (bottom)
  • then 700 cm , in meters we divide by 100, so 7m
  • then 10 m is the last one before we come to starting point

Perimeter = 40+10+68+33+53.41+34+7+10=255.41

Perimeter is 255.41 meters


<u>Part 2:</u>

Area of the figure can be found by dividing the figures. From left, we can see that the whole figure consists of

  • Left rectangle with length 40 m and width 10 m. Thus area of rectangle is length * width = 40 * 10 = 400
  • Then another rectangle with length 68 m and width 33 m. Thus area of this rectangle is length * width = 68 * 33 = 2244
  • Lastly in the bottom we have half a circle, area of whole circle is \pi r^2 and that of this semicircle is half of this so area is \frac{\pi r^2}{2}=\frac{\pi (17)^2}{2}=453.96

Adding all these we get the area of the figure:

Area = 400+2244+453.96=3097.96

Area is 3097.97 square meters.


You might be interested in
The rabbit population in a forest area grows at the rate of 9% monthly. if there are 270 rabbits in july, find how many rabbits
sukhopar [10]
We will do multiplication, 270x0.9 to find out how many rabbits grow in the area each month. Using that number we will multiply it by 12 because the problem is asking us to find the number of rabbits grown in the are in one year. Our final answer would be 292.
5 0
3 years ago
If B = A , where on the number line will B appear ?
Wittaler [7]
B is going to be where A is
7 0
3 years ago
Read 2 more answers
terry opened a savings account in December with $132 and saved $27 each month beginning in January the value of terrys account i
liq [111]
Let S be the amount in a savings account. 
Let m be the number of months.

General equation
S = 132 + 27m

Specific question
July is the 7th month of the year including both January and July.
S = 132 + 7*27
S = 132 + 189
S = 321

Reasonableness?
Good question. You could estimate an answer.
Start with 150 dollars and say that you add 25 a month.
7 * 25 = 175
S = 150 + 175 = 325 All of this was done in my head. Since the exact answer obtained using the formula is 321, I think that's pretty reasonable using my estimate is a guide.
4 0
3 years ago
Please help me it would mean a lot
emmasim [6.3K]

Answer:

44 degrees

Step-by-step explanation:

angle c = 90 degrees

angle a = 46 degrees

the measure of all sides on a triangle is 180

so to solve for the other side we can do this equation...

180 - (90 + 46) = 44

hope this helped, mark as brainliest pls

6 0
1 year ago
Choose the fraction that has not been reduced to simplest form.
Gennadij [26K]

We are required to choose the fraction that has not been reduced to simplest form

The fraction that has not been reduced to simplest form is 19/38 and 10/18

1. 21 / 34 is in its simplest form

factors of 21 = 1, 7 and 21

factors of 34 = 1, 2, 17 and 34

No common factor of 21 and 34 except 1

2. 15/16

factors of 15 = 1, 3, 5, 15

Factors of 16 = 1, 2, 4, 8 and 16

No common factor of 15 and 16 except 1

3. 19/38

factors of 19 = 1, 19

factors of 38 = 1, 2, 19 and 38

divide both numerator and denominator by 19

So,

19 / 38 = 1/2

4. 10/18

factors of 10 = 1, 2, 5 and 10

factors of 18 = 1, 2, 3, 6, 9 and 18

So,

10/18

divide both numerator and denominator by 2

= 5/9

Read more:

brainly.com/question/18069

7 0
3 years ago
Other questions:
  • What is the situation for these two equations ×=10+2 and 10x=2
    10·1 answer
  • Derrick's garden is 18 1/2 feet long. He plants 3/8 of a foot apart. How many bulbs can Derrick plant in one row?
    14·2 answers
  • What is the proper fraction of 83.9999
    10·1 answer
  • Can u plz help with 30 and 31?
    7·1 answer
  • Factor completely 3x^2 + 5x + 1. (3x + 1)(x + 1) (3x + 5)(x + 1) (3x − 5)(x + 1) Prime
    8·2 answers
  • Please Help Me With This Geometry Question!! Thank You :)
    13·1 answer
  • Please help I’m so confused
    6·1 answer
  • What is the slope of the line that lies between the points (0, -1) and (-1,2)?
    10·1 answer
  • Given x^2 + y^2 = 16, find<br><br>name:<br>center:<br>Domain:<br>Range:<br>x-int<br>y-int<br>​
    15·2 answers
  • Find a ordered pair for this equation please for x and y
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!