Jason drew two circles. the diameter of the larger circle is twice the diameter of the smaller circle. What is the ratio of the circumference of the smaller circle to the circumference of the larger circle?
1/2
if a length dimension on the big one is twice the same length dimension on the little one
then
lengths on the small one are 1/2 those on the big one.
To find the ratio of the circumference of the smaller circle to the circumference of the larger circle, we first need to understand the relationship between the diameter and circumference of a circle.
The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. This formula tells us that the circumference is proportional to the diameter, with the constant of proportionality π (pi), which is approximately 3.14159.
Now, let's denote the diameter of the smaller circle as d and the diameter of the larger circle as 2d, since it is given that the diameter of the larger circle is twice the diameter of the smaller circle.
Using the formula for circumference, the circumference of the smaller circle is C1 = πd, and the circumference of the larger circle is C2 = π(2d) = 2πd.
The ratio of the circumference of the smaller circle to the circumference of the larger circle can now be calculated as:
C1/C2 = πd / (2πd) = 1/2
Therefore, the ratio of the circumference of the smaller circle to the circumference of the larger circle is 1:2.