Which of da following expressions correctly shows da relationship between da circumferences and da area of a circle?

Question

A = x r 2

C/d = x

C = 2xr

C2 = 4xA

Answer 1

To analyze the relationships between the circumference and area of a circle, let's clarify the correct formulas:

1. The area \( A \) of a circle is given by: \[ A = \pi r^2 \] (where \( r \) is the radius of the circle).

2. The circumference \( C \) of a circle is given by: \[ C = 2\pi r \]

Now, let's evaluate the expressions you've provided:

1. A = x r^2 - This seems incorrect; the correct formula for the area is \( A = \pi r^2 \).

2. C/d = x - This expression is ambiguous without context, particularly what \( d \) and \( x \) represent.

3. C = 2xr - This is incorrect; the correct circumference formula is \( C = 2\pi r \).

4. C^2 = 4xA - This also seems incorrect without a clear understanding of what \( x \) represents. The correct relationship is not represented here.

In summary, none of the expressions correctly show the relationship between the circumferences and the area of a circle as given. The correct relationships are \( A = \pi r^2 \) and \( C = 2\pi r \).