Answer:
Answer for (a) to (e) = 0.32
Calculate the ratio to the nearest hundredth.
Find the Ratio of Diameter (d) and circumference (C)
Step by step explanation:
In order to determine the ratio we must know the formula for the circumference of a circle. Then relate it to the diameter.
But since we have been the value if both circumference and diameter, we would just calculate the ratio.
Circumference of a circle = 2πr
Where d = diameter = 2r
Circumference = πd
a) d = 20 in.
C = 62.83 in.
Ratio of Diameter (d) and circumference (C) = d:C
= 20/(62.83)
d:C = 0.32
b) d=10 in.
C =31.41 in.
d:C = 10/(31.41)
d:C = 0.32
c) d =6 in.
C =18.84 in.
d:C = 6/(18.84)
d:C = 0.32
d) d= 2 in.
C = 6.28 in.
d:C = 2/6.28
d:C = 0.32
e) d = 1 in.
C = 3.14 in.
d:C = 1/3.14
d:C = 0.32
The above answers indicate that the ratio of a circumference of a circle to its diameter = d/C = d/(π×d)
= 1/π = 0.32
