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
mr_godi [17]
2 years ago
12

Find the area of the shaded region.

Mathematics
1 answer:
lbvjy [14]2 years ago
5 0

Answer:

48\pi\\\approx 150.796

Step-by-step explanation:

1.Approach

To solve this problem, find the area of the larger circle, and the area of the smaller circle. Then subtract the area of the smaller circle from the larger circle to find the area of the shaded region.

2.Find the area of the larger circle

The formula to find the area of a circle is the following,

A=(\pi)(r^2)

Where (r) is the radius, the distance from the center of the circle to the circumference, the outer edge of the circle. (\pi) represents the numerical constant (3.1415...). One is given that the radius of (8), substitute this into the formula and solve for the area,

A_l=(\pi)(r^2)\\A_l=(\pi)(8^2)\\A_l=(\pi)(64)

3.Find the area of the smaller circle

To find the area of the smaller circle, one must use a very similar technique. One is given the diameter, the distance from one end to the opposite end of a circle. Divide this by two to find the radius of the circle.

8 ÷2 = 4

Radius = 4

Substitute into the formula,

A_s=(\pi)(r^2)\\A_s=(\pi)(4^2)\\A_s=(\pi)(16)

4.Find the area of the shaded region

Subtract the area of the smaller circle from the area of the larger circle.

A_l-A_s\\=64\pi - 16\pi\\=48\pi

\approx150.796

You might be interested in
For each system of equations, drag the true statement about its solution set to the box
iVinArrow [24]
<h2 /><h2>1</h2>

ONE SOLUTION

  • 6x-3=2x+1 has one solution

INFINITELY MANY SOLUTION

  • 6x-3 is a multiple of 2x+1

5 0
2 years ago
5 Divided by 35.15?<br> Sorry if I spam a lot of questions it’s my final exam for school.
Orlov [11]
ANSWER: 0.142247510668563
5 0
2 years ago
Read 2 more answers
Other names for a rectangle?
Vitek1552 [10]
The answer is square

Hope it helps
7 0
3 years ago
Read 2 more answers
I am a 3-digit number. If rounded off to the nearest hundreds. I become 500. If rounded off to the nearest tens, I become 540. I
dimulka [17.4K]

Answer:

535 is the cirrext answer

6 0
3 years ago
I need help in less than 20 mins what is 19 times 36000 divided by 8 times 2?whoever help sub to this clipz_content on yt and ge
Aleksandr [31]

Answer:

I pretty sure the answer is 171,000 . but if i'm wrong someone can correct me

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • A local furniture stores at advertising a discount of 30% off their selection a surface. Pauline monster buy a sofa that has an
    13·1 answer
  • Write an equation that represents each mixed number as a sum of whole numbers and unit fractions. 1/ 5/6
    15·1 answer
  • If you divide 7/8 by 3/4, will the quotient be greater than or less than 3/4?
    5·1 answer
  • A rectangular swimming pool measures 51/2 metres by31/2 metres. what is the perimeter
    11·2 answers
  • Can someone help me with this question will give brainliest. Thank you and Stay Safer
    7·2 answers
  • An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die
    11·1 answer
  • Cindy’s Fish Cam video data showed that for every 100 fish she saw in the deep habitat, there were 315
    8·1 answer
  • In the accompanying diagram...
    13·2 answers
  • PLEASE HELP MEE THANK IF U DOOO
    13·1 answer
  • Which of the following constants can be added to x2 - 3x to form a perfect square trinomail?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!