Estimate Values of Expressions with Pi Quick Check
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Question
What is the circumference of a circle with a diameter = 4 feet? Which of the following is the best estimation for the circumference?(1 point)
Responses
13 feet
13 feet
6 feet
6 feet
50 feet
50 feet
25 feet
Here is the full answers:
1. 13 feet
2. 10.21 meters
3. 15.7 feet
4. 452.16 square feet
5. 78.5 square mm
The best estimation for the circumference of a circle with a diameter of 4 feet can be found using the formula: circumference = π * diameter.
Given that the diameter is 4 feet, we can substitute this value into the formula to find the circumference:
circumference = π * 4 feet
Using an approximation for π of 3.14, we can estimate the circumference:
circumference ≈ 3.14 * 4 feet
circumference ≈ 12.56 feet
Therefore, the best estimation for the circumference is 13 feet.
To find the circumference of a circle with a diameter of 3.25 meters, we can use the formula: circumference = π * diameter.
Given that the diameter is 3.25 meters and using an approximation for π of 3.14, we can estimate the circumference:
circumference ≈ 3.14 * 3.25 meters
circumference ≈ 10.205 meters
Rounded to the hundredths place, the best estimation for the circumference is 10.21 meters.
Therefore, the correct response is "10.21 meters".
To find the area of a circle with a radius of 12 feet, we can use the formula: area = π * radius^2.
Given that the radius is 12 feet and using an approximation for π of 3.14, we can estimate the area:
area ≈ 3.14 * (12 feet)^2
area ≈ 3.14 * 144 feet^2
area ≈ 452.16 feet^2
Rounded to the hundredths place, the best estimation for the area is 452.16 square feet.
Therefore, the correct response is "452.16 square feet".
To find the area of a circle with a diameter of 10 millimeters, we can use the formula: area = π * (radius)^2.
Given that the diameter is 10 millimeters, we need to find the radius by dividing the diameter by 2:
radius = diameter / 2 = 10 mm / 2 = 5 mm
Using an approximation for π of 3.14, we can estimate the area:
area ≈ 3.14 * (5 mm)^2
area ≈ 3.14 * 25 mm^2
area ≈ 78.5 mm^2
Rounded to the tenths place, the best estimation for the area is 78.5 square millimeters.
Therefore, the correct response is "78.5 square millimeters".
What is the circumference of a circle with a diameter of 3.25 meters? Estimate the circumference to the hundredths place using 3.14 for π
.(1 point)
Responses
10.22 meters
10.22 meters
10.2 meters
10.2 meters
33.18 meters
33.18 meters
10.21 meters
What is the area of a circle with a radius of 12 feet? Estimate the area to the hundredths place using 3.14 for π
.(1 point)
What is the area of a circle with a diameter of 10 millimeters? Estimate the area to the tenths place using 3.14 for π
.(1 point)