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
mariarad [96]
3 years ago
7

A circle with radius of 3 cm sits inside a circle with radius of 5 cm. What is the area of the shaded region? Round your final a

nswer to the nearest hundredth.

Mathematics
2 answers:
DiKsa [7]3 years ago
8 0

Hello!!

So first you need to find the area of the green circle. The formula for finding area for a circle is A = π r2. So the area for the green circle is 28.26 cm. Then you need to find the area of the blue circle. (Using the same formula) which would be 78.5. Then you subtract the value of the green circle to get the value of the shaded region which then your final answer is 50.24 cm. Hope this helped!!

Marysya12 [62]3 years ago
8 0

Answer:

About 50.24 cm^2 (Area of Shaded Region)

Step-by-step explanation:

Let's calculate the area of the shaded region by calculating the area of the bigger circle subtracted by the area of the smaller, nested circle:

The area of the bigger circle, given it's radius of 5 cm, can be calculated through the area formula πr^2. Now let's substitute, and, for simplicity, keep π as it is:

π (5 cm)^2 =

25π cm^2

Now the area of the smaller circle, given it's radius of 3 cm, can be calculated through the area formula πr^2 as done before. Again let us substitute, and, for simplicity, keep π as it is:

π (3 cm)^2 =

9π cm^2

To calculate the area of the shaded region, as discussed before, should be the difference between the larger and smaller circle's area as such:

25π cm^2 - 9πcm^2 =

16π cm^2

Now let's take π as 3.14 and calculate:

16(3.14) cm^2 =

Area of Shaded Region: 50.24 cm^2

You might be interested in
How do you prove this?
frozen [14]

Answer:

Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.

Step-by-step explanation:

Informally, subtract DE from CE and DF. This will show CD ≅ EF.

Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.

Corresponding parts of congruent triangles are congruent, namely the angles C and F.

Since base angles of ΔACF are congruent, it is isosceles.

3 0
3 years ago
7² ft
Lapatulllka [165]
It’s is 6 because I added it all up and all you have to do is division
3 0
3 years ago
Pleaseee help with this! Giving 60 points!
Sonja [21]

Answer:

X = 2, -8

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
How much does he/she pay with 10 %
ss7ja [257]

Answer:

5085

Step-by-step explanation:

price after discount is 5000- 10% of 5000 = 4500

V.A.T = 13% of 4500 = (13/100)*4500= 13*45= 585

Price after V.A.T = 4500 + 585 = 5085

5 0
3 years ago
Application of Geometric Series
Gnoma [55]

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  \displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112

Then the value of the entire given expression is ...

  \displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}

_____

A calculator can help you find the value.

6 0
2 years ago
Other questions:
  • Which of the following is equal to the square root of...
    8·1 answer
  • R is positive can someone simplify it ik it may actually be simple lol
    6·1 answer
  • The number of measles cases has increased by 14% since 2000. Express your answer rounded correctly to the nearest hundredth. Sta
    12·1 answer
  • PLZ HELP MEE thxxx :)
    5·1 answer
  • −1 + 6 = 5 + 8 + 4<br> Group of answer choices<br><br> 10<br><br> 1<br><br> -2<br><br> - 3 witch one
    8·2 answers
  • carl bought 0.8 pounds of peanuts and 0.3 pounds of raisins. how many pounds of snacks did he buy in all?
    5·2 answers
  • Mr. Cannon has a piece of land that is 3/7 of an acre. He wants to build 10 houses on his land. How much land does each house ge
    13·2 answers
  • 9 1/4 - 4 5/6<br> please answer and i answer for u
    13·2 answers
  • Negative 5.4 + x = 12.2. Minus 5.4. x = 6.8.<br> What error, if any, did she make?
    8·1 answer
  • 5 pleaseeee help me out ill mark you brainlist<br> I'm on the verge of failing smh
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!