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.(1 point)

Responses

75.36
75.36

452.16
452.16

18.84
18.84

37.68

The correct formula to find the circumference of a circle is C = 2πr.

Plugging in the values, C = 2 * 3.14 * 12 = 75.36

Therefore, the correct 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)

Responses

C≈3.14⋅150
upper C approximately equals 3.14 times 150

C≈2⋅3.14⋅450
upper C approximately equals 2 times 3.14 times 450

C≈3.14⋅450÷2
upper C approximately equals 3.14 times 450 divided by 2

C≈3.14⋅4502

The correct formula to find the circumference of a circle is C = 2πr.

Given that the radius is 450, the correct formula would be:
C = 2 * 3.14 * 450 = 2826

The correct response should be:
C ≈ 2 * 3.14 * 450

Therefore, 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?(1 point)

Responses

π=dC
pi equals Start Fraction d over upper C

A=πr2
upper A equals pi r squared

Cd=π
Start Fraction upper C over d End Fraction equals pi

C=πd

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.(1 point)

Responses

346.19 mi.2
346.19 mi squared

131.88 mi.2
131.88 mi squared

65.94 mi.2
65.94 mi squared

1,384.74 mi.2

The correct formula to find the area of a circle in terms of the diameter is:

A = π * (d/2)^2

Given that the diameter is 21 miles, we can calculate the radius (r) as half the diameter: r = 21 / 2 = 10.5 miles.

Now, we can plug the radius into the formula:

A = 3.14 * (10.5)^2
A = 3.14 * 110.25
A ≈ 346.19 (rounded to the nearest hundredths place)

Therefore, the correct answer is 346.19 mi^2.

Which of the following is the correct formula for finding the area of a circle?(1 point)

Responses

A=πr2
upper A equals pi r squared

A=2πr
upper A equals 2 pi r

A=C2÷4πA=πd2
upper A equals upper C squared divided by 4 pi upper A equals pi d squared

A=πd
upper A equals pi d

The correct formula for finding the area of a circle is:

A = πr^2

Therefore, the correct response is A = πr^2.

The correct formula that describes the proportional relationship between the circumference (C) of a circle and the diameter (d) is:

C = πd

Therefore, the correct response is C=πd.