What is the circumference of a circle with a diameter of 5.75 miles? Estimate the circumference to the hundredths place using 3.14 for π
.(1 point)
miles
To estimate the circumference of a circle with diameter d, you can use the formula:
Circumference (C) = π * d
Given the diameter d = 5.75 miles and using 3.14 for π, the circumference is calculated as follows:
C = 3.14 * 5.75
Now, perform the multiplication:
C = 18.055
To round to the hundredths place, the circumference is approximately:
C ≈ 18.06 miles
What is the area of a circle with a radius of 2.1 miles? Estimate the area to the hundredths place using 3.14 for π
.(1 point)
square miles
To estimate the area (A) of a circle with a radius (r), you can use the formula:
Area (A) = π * r^2
Given the radius r = 2.1 miles and using 3.14 for π, the area is calculated as follows:
A = 3.14 * (2.1 miles)^2
Now square the radius and multiply by π:
A = 3.14 * (4.41 square miles)
Perform the multiplication:
A = 13.8274 square miles
To round to the hundredths place, the area is approximately:
A ≈ 13.83 square miles
To find the circumference of a circle, you need to know the value of the diameter. The diameter is given as 5.75 miles.
The circumference of a circle can be calculated using the formula C = πd, where C is the circumference, π is pi (approximately 3.14), and d is the diameter.
Substituting the given values into the formula:
C = 3.14 * 5.75
To estimate the circumference to the hundredths place, you need to round your final answer to two decimal places.
Calculating the value:
C = 18.07 miles
Therefore, the estimated circumference of the circle with a diameter of 5.75 miles is approximately 18.07 miles.