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
Zielflug [23.3K]
3 years ago
11

Each side of a square is 4 inches. Four circles of equal area are inscribed (constructed inside the square). Find the exact area

of the region around the circles. (inside the square but outside the circles)

Mathematics
1 answer:
Darya [45]3 years ago
6 0
In order to find the area of the area outside the circles and inside the square, you need the area of the square minus the area of all the circles.

I assume you know the area of the square (s^2= 4^2 = 16 square inches). But the area of the circles is tricky.

The area of a circle is pi times r squared
\pi \times r ^{2}
So you need the radius. Knowing the side length is four inches and that two circles span one side length (as in the picture), you can divide the side length by two to get the diameter of one circle. Then divide that by two again to get the radius. Ultimately the radius is one.

The area using the circle area equation is ultimately just pi. However, with four circles you need to multiply this by four to get four pi.

So, 16-4pi is approximately 3.44 inches squared is the answer.

You might be interested in
Which data set is the most spread from its mean?<br>14. 26 24 28<br>22 16 18 36<br>24 19 27.25​
xenn [34]

Answer:

22 16 18 36

Step-by-step explanation:

4 0
3 years ago
Simplify: 21j-26+4j=21+6-2j
Molodets [167]
1. 21j-26+4j=21+6-2j
2. 25j-26=27-2j
3. 27j=53
4. j=53/27
hope this helps!!
3 0
3 years ago
An observer in a hot air balloon sights a building that is 50 m from the balloon's launch point. The balloon has risen 165 m. Wh
Kaylis [27]
Notice the picture,
recall your SOH, CAH, TOA
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}&#10;\qquad \qquad &#10;% cosine&#10;cos(\theta)=\cfrac{adjacent}{hypotenuse}&#10;&#10;\\ \quad \\&#10;% tangent&#10;tan(\theta)=\cfrac{opposite}{adjacent}

you have,
opposite side, 165
adjacent side, 50
and the angle

that means, we'll need Mrs. tangent
thus 
\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(\theta)=\cfrac{165}{50}&#10;\\ \quad \\&#10; tan^{-1}\left[ tan(\theta) \right]=tan^{-1}\left[ \cfrac{165}{50} \right]&#10;\\ \quad \\&#10;\theta=tan^{-1}\left[ \cfrac{165}{50}\right]&#10;\\ \uparrow  \\&#10; \textit{angle of elevation}\iff\textit{angle of depression}

4 0
3 years ago
Find the surface area of the prism. Round to the nearest tenth if necessary. please help!!
irina [24]

Answer:

72

Step-by-step explanation:

This shape is a prism; it's a 3-D shape with 6 sides. Basically, it's a box.

All 6 sides are rectangles.

Surface area means that we'll find the area of all 6 rectangles and add them up.

There's a front and back, left and right, and a top and bottom.

The area of a rectangle is length×width or base×height.



The front and back are identical.

Area = length×width

Area = 6×3 = 18

Since the front and back are the same, two of the rectangles have area = 18.



The left and right are the same:

Area = 3 × 2

Area = 6

Two faces have area = 6.

The top and bottom are the same.

Area = 6 × 2

Area = 12

Again, two faces have area = 12.

To find the total surface area, add up all 6 areas.

A =18+18+6+6+12+12

A = 72

7 0
2 years ago
9207 divided by 3 in long division
aleksley [76]
3 went into 9, 3 times
3 went into 2, 0 times
3 went into 20, 6 times
3 went into 27, 9 times

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is equivalent to 2:6
    9·2 answers
  • Find each percent change. Increase or decrease .<br> From 99 to 92
    14·2 answers
  • 3xsquare-9x-30=0<br> What’s the answer
    13·1 answer
  • Help me with this question!
    14·1 answer
  • Sain has a student loan for $22,990. This loan has a simple interest rate of 5%. What is the amount of interest Sain will be cha
    8·2 answers
  • Help I don’t understand the first part but understand the second
    6·2 answers
  • Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 512 the full and Samuel’s shelf is 1
    11·1 answer
  • Please Help i need this done
    13·1 answer
  • Find the equation of the line that is parallel to x=5y-8 and pass through (6, -5) in slope intercept form
    13·1 answer
  • Question 8 of 25<br> Which of the following is the quotient of the rational expressions shown here?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!