Janet has a circular garden in her front yard with a diameter of 8 feet. How does the diameter d compare to the circumference C of the garden?
F) D = 1/3C
G) D = 1/2C
H) D = 2C
I) D = 3C
Because diameter is twice the radius, the radius must be 1/2 of 8 ft. So r=4ft.
The circumference is equal to 2*pi*radius. Since pi is =3.14
Thus by comparing the two equations
D=2r
C=2rpi
the only difference is pi so the answer would be F if you assume 3.14 is approximately 3
To determine the relationship between the diameter (d) and the circumference (C) of a circle, we need to use the formula for the circumference of a circle, which is C = πd.
Given that the diameter of Janet's garden is 8 feet, we can substitute this value into the formula to find the circumference:
C = π × 8
C = 8π
Next, we can compare the diameter and circumference using the given options:
F) D = 1/3C
If we substitute the value for C into the equation, we get:
D = 1/3 × 8π
D = 8/3π
G) D = 1/2C
Substituting the value of C into the equation, we get:
D = 1/2 × 8π
D = 4π
H) D = 2C
Substituting the value of C into the equation, we get:
D = 2 × 8π
D = 16π
I) D = 3C
Substituting the value of C into the equation, we get:
D = 3 × 8π
D = 24π
Comparing the diameter (d) to the circumference (C), we can see that none of the given options match the relationship between them. Therefore, none of the options F, G, H, or I are correct.