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
Andreas93 [3]
2 years ago
6

Help this is due tomorrow please! Carter has 88 feet of fencing to enclose a dog pen in his yard. He is trying to decide whether

to make the pen circular or square. Assuming he uses all of the fencing, what is the difference between the area of the circular pen and the square pen? ​
Mathematics
1 answer:
svet-max [94.6K]2 years ago
3 0
<h3>Answer:</h3>

The circle makes the larger area

The difference in the two areas is roughly 132.2479 square feet.

=================================================

Explanation:

If Carter decides to go for a circle, then 88 is the circumference, which is the distance around the circle (aka perimeter of the circle).

Use this to find the radius needed

C = 2*pi*r

r = C/(2pi)

r = 88/(2pi)

r = 44/pi

I'll leave it in exact form rather than approximate it.

Once we know the radius, we can find the area of the circle.

A = pi*r^2

A = pi(44/pi)^2

A = pi*(1936/(pi^2))

A = 1936/pi

A = 616.247939651819 approximately

I used my calculator's stored version of pi to compute the area in the final step.

We'll be comparing this number later, so hold onto it for now.

-------------------------------------

If Carter instead decides for a square, then 88 is the perimeter since it's the amount of fencing he has to work with.

Divide it into 4 pieces to find the length of each side of the square (all sides are equal in a square)

88/4 = 22

Each side is 22 feet

The area of this square is (22)^2 = 22*22 = 484 square feet

--------------------------------------

Summary:

  • If Carter goes for a circular enclosure, then he gets roughly 616.2479 square feet.
  • The square enclosure only gets him exactly 484 square feet.

The circle wins in terms of larger area.

The difference being roughly 616.2479  - 484 = 132.2479 square feet.

You might be interested in
An automobile manufacturer is concerned about a possible recall of its best-selling four-door sedan. If there were a recall, the
andrew11 [14]

Answer:

0.27

Step-by-step explanation:

Suppose A is the event of defect in the brake system and B is the event of defect in the fuel system,

We have given,

P(A) = 0.25,

P(B) = 0.17

P(A∩B) = 0.15 ( the probability of defects in both systems simultaneously is 0.15 ),

We know that,

P(A∪B) = P(A) + P(B) - P(A∩B)

= 0.25 + 0.17 - 0.15

= 0.27

Hence, the probability that the defect is the brakes or the fueling system is 0.27.

8 0
3 years ago
Pyramids A and B are similar. Pyramid A has a height of 8 in., and Pyramid B has a height of 24 in. Pyramid A has a volume of 38
Olenka [21]

Answer:

Step-by-step explanation:

142

5 0
3 years ago
Help asap pleasee, I'LL GIVE BRAINLIEST FOR THIS QUESTION
pochemuha

Answer:

C is the answer

Step-by-step explanation:

2π/2 = π

8 0
2 years ago
Read 2 more answers
Natalie has 48 tiles write a factor pair for the number 48
grandymaker [24]
A factor is a number multiplied by another factor to get a product:
a x b = c
a and b are factors and c is product.
So, for 48, factor pairs are:

1 x 48
2 x 24
3 x 16
4 x 12
6 x 8
8 x 6
12 x 4
16 x 3
24 x 2
48 x 1 
8 0
3 years ago
A box contains 3 yellow, 2 red, 4 green and 3 black marbles. Two marbles are taken one after the other at random from the box. W
Nata [24]
I believe it's 2/10.
7 0
3 years ago
Other questions:
  • CAN SOMEONE HELP ME WITH A GRAPH QUESTION?<br> DUE IN 5 MINUTES PLZ HELPPP 10 POINTS AND BRAINLIEST
    5·1 answer
  • The radius of a semicircle is 3 centimeters. What is the semicircle's area?
    10·1 answer
  • What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)?
    10·1 answer
  • What is the solution to x -2&lt;10
    12·1 answer
  • The equation in slope intercept form
    9·1 answer
  • The number of bacteria, b, in a refrigerated food is given by the function b(t) = 15t2 − 60t + 125, where t is the temperature o
    5·1 answer
  • Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
    10·2 answers
  • Find AT AND RC. 80 points
    9·2 answers
  • PLEASE HELP FAST!
    7·1 answer
  • A storage chest is shown. What is the volume in cubic feet?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!