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
koban [17]
2 years ago
9

Determine the area of this shape. Express your answer in terms of pi.

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
6 0

The area of the composite shape is 21\pi\text{ sq. units}

The shape is made up of four semi-circular regions. (see image attached to the solution). The area can be computed as follows:

Area=(A-C)+(B-D)

where each letter represents the areas of the associated semi-circles.

The area of a semi-circle is given by

Area_s=\dfrac{\pi r^2}{2}

For region A, r=6units

A=\dfrac{\pi\times6^2}{2}\\\\=18\pi \text{ sq.units}

For region B, r=4units

B=\dfrac{\pi\times4^2}{2}\\\\=8\pi \text{ sq.units}

For region C, r=3units

C=\dfrac{\pi\times3^2}{2}\\\\=4.5\pi \text{ sq.units}

For region D, r=1units

D=\dfrac{\pi\times1^2}{2}\\\\=0.5\pi \text{ sq.units}

So, the area of the shape is

Area=(A-C)+(B-D)\\\\=[(18-4.5)+(8-0.5)]\pi\\\\=21\pi\text{ sq.units}

Learn more about how to compute the area of composite shapes: brainly.com/question/316492

You might be interested in
PLEASE HELP I NEED TI GO TO BED AND ITS 12 am! Select the ordered pairs that are solutions to the inequality 2x-3y greater than
max2010maxim [7]
(8,1);((-2,-6)

2•8-3•1>=12
16-3>=12
13>=12

2•(-2)-3(-6)>=12
-4+18>=12
14>=12
5 0
3 years ago
Read 2 more answers
In November, the Sport Shop sold
Neko [114]

Answer:

March is the first month

Step-by-step explanation:

If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.

5 0
3 years ago
For a spear with a radius of 8 what is the surface area​
UkoKoshka [18]
Solution
A=4πr2=4·π·82≈804.24772
Approximately = 804.25
6 0
3 years ago
Help please! I have to answer what is wrong with this ,but I am getting really confused.
Aliun [14]

Answer:

x = 113

Step-by-step explanation:

Vertical angles are congruent. To the left of 113 would be 67 but x is not.

8 0
3 years ago
what is thirty-four million plus two hundred fifty-six thousand times four hundred? Please write the answer in scientific notati
Mashutka [201]
Million has 6 zeoes
34,000,000+256,00*400

PEMDAS
multiply first
256,000*400=102,400,000
add to 34,000,000
136,400,000
now
must be in form
(x)(10^m)
such taht
1<x<10
and x times 10^m is the original number
1.364*10^8
7 0
3 years ago
Read 2 more answers
Other questions:
  • Curtis paid $80 on the vet bill for his dog. Then the vet charged him $40 more for his dog's medicine. If he now owes the vet $1
    14·2 answers
  • Can some one tell me which is bigger 5/8 or 0.58.
    9·1 answer
  • What is 8.1 in a fraction
    6·2 answers
  • Solve for x. (Geometry)
    11·2 answers
  • What is the correct way to show ?
    11·2 answers
  • What is the sST for the data set (1, 5), (2, 8), (4, 14)?<br><br> 14<br> 42<br> 25<br> 9
    12·1 answer
  • Place the indicated product in the proper location on the grid.<br> (2a^x+1/2b^x)^2
    9·2 answers
  • The questions says “what is the solution to this system of equations”
    6·1 answer
  • As an estimation we are told £3 is 4 euros. Convert £28.50 to euros.
    11·1 answer
  • 3 A piece of ibbon of lengh 84 cm is divided
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!