The radius of a circle is 75 mm. What is the approximate area of the circle? Write your answer to the tenths place. Use 3.14 for π.
__ mm²
The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle.
Given that the radius of the circle is 75 mm, we can substitute this value into the formula:
A = 3.14 * 75^2
A = 3.14 * 5625
A ≈ 17671.25 mm²
Therefore, the approximate area of the circle is 17671.3 mm².
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.
75.36
452.16
37.68
18.84
The formula to find the circumference of a circle is C = 2πr, where r is the radius of the circle.
Given that the radius of the circle is 12, we can substitute this value into the formula:
C = 2 * 3.14 * 12
C = 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⋅450÷2 upper C approximately equals 3.14 times 450 divided by 2 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⋅4502
The correct formula to find the circumference of a circle with a radius of 450 is:
C = 2πr
C = 2 * 3.14 * 450
C = 2 * 3.14 * 450
C = 2 * 3.14 * 450
C = 2 * 3.14 * 450
C = 2826
Therefore, the correct formula 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 C=πd upper C equals Start Fraction pi over d End Fraction π=dC pi equals Start Fraction d over upper C A=πr2 upper A equals pi r squared Cd=π
The correct formula that describes the proportional relationship between the circumference of a circle and the diameter is:
C = πd
This formula states that the circumference (C) of a circle is equal to pi (π) times the diameter (d).
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 65.94 mi.2 65.94 mi squared 346.19 mi.2 346.19 mi squared 1,384.74 mi.2 1,384.74 mi squared 131.88 mi.2
Given that the diameter of the circle is 21 miles, we first need to find the radius, which is half of the diameter:
Radius (r) = Diameter / 2
r = 21 / 2
r = 10.5 miles
To find the area of the circle, we use the formula A = πr^2:
A = 3.14 * (10.5)^2
A = 3.14 * 110.25
A ≈ 346.185
Rounding to the nearest hundredths place, the area of the circle is 346.19 mi².
Therefore, the correct answer is 346.19 mi².