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
D?
Nope.
C = pi * d
To compare the diameter to the circumference of a circle, we must understand the relationship between these two measurements.
The diameter of a circle is the distance across the circle, passing through the center. The circumference of a circle, on the other hand, is the distance around the outside of the circle.
To find the circumference of a circle, we can use the formula: C = π*d, where C is the circumference and d is the diameter. In this case, the diameter is 4 feet.
Plugging in the values, we get: C = π*4 = 4π feet.
Now, let's compare the diameter to the circumference:
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.
To determine the correct answer, we can divide the circumference (4π feet) by the diameter (4 feet):
Circumference / Diameter = (4π / 4) = π.
Therefore, the correct answer is D. The diameter is about 3 times more than the circumference.