An illustration shows a rectangle with a length of 4 meters and a width of 3 meters.
The rectangle shows the outline of a campsite in a national forest. Anna makes a scale drawing of the campsite in which the longer side measures 1 meter. What is the area of the scale drawing in square meters?
3.5 square centimeters
12 square meters
1.33 square meters
0.75 square meters
The original poster has a left edge of 36 inches and a top edge of 24 inches. We don't need this information to find the area of Alfredo's scale drawing.
We do know that Alfredo's scale drawing has a top edge of 8 inches. To find the length of the left edge on the scale drawing, we can set up a proportion:
Original left edge / Original top edge = Scale left edge / Scale top edge
Plugging in the values we know, we get:
36 inches / 24 inches = Scale left edge / 8 inches
Simplifying, we get:
Scale left edge = (36/24) * 8 = 12 inches
So Alfredo's scale drawing is a rectangle with a top edge of 8 inches and a left edge of 12 inches.
The area of the scale drawing is:
Area = length x width = 12 inches x 8 inches = 96 square inches
Answer: 96 square inches
The scale of the drawing is 1 meter represents 4 meters in reality. Therefore, the width of the campsite on the drawing is 3/4 meters.
Area of the scale drawing = length x width = 1 meter x (3/4) meters = 0.75 square meters
Answer: 0.75 square meters
Use the table to answer the question.
Original Poster Scale Drawing
left edge (in.) 36 ?
top edge (in.) 24 8
A local food organization puts out a healthy foods poster. The poster is in the shape of a rectangle, and its dimensions are given in the table. Alfredo wants to make a smaller version of the poster to hang up in the community center. He makes a scale drawing of the poster with the length of the top edge given in the table. What is the area of Alfredo’s scale drawing?
Which of the following uses the correct formula to find the approximate circumference of a circle that has a radius of 12? Use 3.14 for π and express your answer to the hundredths place.
The formula for the circumference of a circle with radius "r" is:
Circumference = 2πr
In this problem, the radius is 12, so we can plug that value in:
Circumference = 2(3.14)(12)
Simplifying, we get:
Circumference = 75.36
Rounding to the hundredths place, we get:
Circumference ≈ 75.36
Therefore, the answer is:
75.36
Which of the following uses the correct formula to find the approximate circumference of a circle that has a radius of 450?(1 point)
The formula for the circumference of a circle with radius "r" is:
Circumference = 2πr
In this problem, the radius is 450, so we can plug that value in:
Circumference = 2(π)(450)
We can simplify this by using an approximate value of pi, such as 3.14:
Circumference ≈ 2(3.14)(450)
Circumference ≈ 2(1413)
Circumference ≈ 2826
Therefore, the approximate circumference of a circle with a radius of 450 is 2826.
Which of the following uses the correct formula to find the approximate circumference of a circle that has a radius of 450?(1 point)
C≈2⋅3.14⋅450
C≈3.14⋅450÷2
C≈3.14⋅4502
C≈3.14⋅150
The correct answer is:
C≈2⋅3.14⋅450
The formula for the circumference of a circle with radius "r" is:
Circumference = 2πr
In this problem, the radius is 450, so we can plug that value in:
Circumference = 2(π)(450)
We can simplify this by using an approximate value of pi, such as 3.14:
Circumference ≈ 2(3.14)(450)
Circumference ≈ 2826
Therefore, the approximate circumference of a circle with a radius of 450 is 2826.
The other options are incorrect and do not use the correct formula or have other errors in their calculations.
just pick one out of the four
The correct answer is:
C≈2⋅3.14⋅450
Which formula correctly describes the proportional relationship between the circumference of a circle and the diameter?
Cd=π
π=dC
C=πd
A=πr2
The correct formula that describes the proportional relationship between the circumference of a circle and the diameter is:
C = πd
This formula says that the circumference (C) of a circle is equal to Pi (π) times the diameter (d), which represents a proportional relationship between the two.
Use the correct formula to find the area of a circle if the diameter is 21 mi. Round to the nearest hundredths place. Use 3.14 for π.
131.88 mi.2
346.19 mi.2
65.94 mi.2
1,384.74 mi.2
The formula for the area of a circle with diameter "d" is:
Area = (π/4) * d^2
In this problem, the diameter is 21 miles, so we can plug that value in:
Area = (3.14/4) * 21^2
Simplifying, we get:
Area = (3.14/4) * 441
Area ≈ 346.36
Rounding to the nearest hundredths place, we get:
Area ≈ 346.19 mi^2
Therefore, the answer is:
346.19 mi^2
346.19 mi^2
Yes, that is correct.
Which of the following is the correct formula for finding the area of a circle?
A=C2÷4πA=πd2
A=2πr
A=πr2
A=πd
The correct formula for finding the area of a circle is:
A = πr^2.
This formula says that the area (A) of a circle is equal to Pi (π) times the radius (r) squared.