The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the peri
meter to the nearest tenth of a foot and the area to the nearest square foot.
1 answer:
FOUND THE COMPLETE QUESTION IN ANOTHER SOURCE.ATTACHED IMAGE.
For this case what we have is the following:
For the two semicircles we can model it as a complete circle.
We have to then:
Perimeter:
P = 2 * pi * r
or
P = pi * d
Where,
r = radius
d = diameter
Therefore the perimeter is:
P = 10 * pi
For the largest circle we have:
radius = 10
Perimeter:
P '= 2pi10
P '= 20pi
1/4 since 1/4 circle:
P '' = 20pi / 4 = 5pi
Then, the total perimeter of the source is:
Pt = P + P '' = 10pi + 5pi = 15pi
Pt = 15 * (3.141592)
Pt = 47.1239
round
Pt = 47.1 ft
Area:
The total area will be:
A = A (two semicircles) + A (quarter big circle)
A = (pi / 4) * (d ^ 2) + (1/4) * pi * r ^ 2
A = (pi / 4) * ((10) ^ 2) + (1/4) * pi * (5) ^ 2
A = 98.17477042 feet ^ 2
Round:
A = 98.2 feet ^ 2
Answer:
Perimeter of the source:
Pt = 47.1 ft
Area of the source:
A = 98.2 feet ^ 2
For this case what we have is the following:
For the two semicircles we can model it as a complete circle.
We have to then:
Perimeter:
P = 2 * pi * r
or
P = pi * d
Where,
r = radius
d = diameter
Therefore the perimeter is:
P = 10 * pi
For the largest circle we have:
radius = 10
Perimeter:
P '= 2pi10
P '= 20pi
1/4 since 1/4 circle:
P '' = 20pi / 4 = 5pi
Then, the total perimeter of the source is:
Pt = P + P '' = 10pi + 5pi = 15pi
Pt = 15 * (3.141592)
Pt = 47.1239
round
Pt = 47.1 ft
Area:
The total area will be:
A = A (two semicircles) + A (quarter big circle)
A = (pi / 4) * (d ^ 2) + (1/4) * pi * r ^ 2
A = (pi / 4) * ((10) ^ 2) + (1/4) * pi * (5) ^ 2
A = 98.17477042 feet ^ 2
Round:
A = 98.2 feet ^ 2
Answer:
Perimeter of the source:
Pt = 47.1 ft
Area of the source:
A = 98.2 feet ^ 2
You might be interested in
Answer:
(a) The probability that a randomly selected U.S. adult uses social media is 0.35.
(b) The probability that a randomly selected U.S. adult is aged 18–29 is 0.22.
(c) The probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = an US adult who does not uses social media.
<em>Y</em> = an US adult between the ages 18 and 29.
<em>Z</em> = an US adult between the ages 30 and above.
The information provided is:
P (X) = 0.35
P (Z) = 0.78
P (Y ∪ X') = 0.672
(a)
Compute the probability that a randomly selected U.S. adult uses social media as follows:
P (US adult uses social media (<em>X'</em><em>)</em>) = 1 - P (US adult so not use social media)
Thus, the probability that a randomly selected U.S. adult uses social media is 0.35.
(b)
Compute the probability that a randomly selected U.S. adult is aged 18–29 as follows:
P (Adults between 18 - 29 (<em>Y</em>)) = 1 - P (Adults 30 or above)
Thus, the probability that a randomly selected U.S. adult is aged 18–29 is 0.22.
(c)
Compute the probability that a randomly selected U.S. adult is 18–29 and a user of social media as follows:
P (Y ∩ X') = P (Y) + P (X') - P (Y ∪ X')
Thus, the probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.