Students in Mr. Tandoc's shop class made a circular railroad crossing sign for a school play. The diameter of the sign was about 4 feet. How does the diameter compare to the circumference of the sign?
A. The diameter is about 1/3 of the circumference
B.The diameter is about 1/2 of the circumference
C.The diameter is about 2 times more than the circumference
D.The diameter is about 3 times more than the circumference
A?
My teacher says its A, so can anyone explain how come?
Yes. :-)
C = pi * d
pi = 3.14
How much does 1/3 equal?
1/3 = 1 part of 3
http://www.visualfractions.com/
To determine the ratio of the diameter to the circumference of a circle, you can use the formula for the circumference:
Circumference = π * Diameter
where π is a mathematical constant approximately equal to 3.14159.
In this case, the diameter of the circular railroad crossing sign is about 4 feet. Now, let's calculate the circumference:
Circumference = π * 4
Circumference ≈ 3.14159 * 4
Circumference ≈ 12.56636 feet
So, the circumference of the sign is approximately 12.56636 feet.
Now, let's compare the diameter to the circumference:
Diameter: 4 feet
Circumference: 12.56636 feet
Based on these values, we can see that the diameter is approximately 1/3 of the circumference. Therefore, the correct answer is A. The diameter is about 1/3 of the circumference.