Which of the following expressions correctly shows the relationship between the circumference and the area of a circle?(1 point)

Question

Responses

C=2πr
upper C equals 2 pi r

A=πr2
upper A equals pi r squared

C2=4πA
upper C squared equals 4 pi upper A

C/d = π

Answer 1

The expressions that correctly show the relationship between the circumference (\(C\)) and the area (\(A\)) of a circle are:

1. \(C = 2\pi r\) (Circumference formula)
2. \(A = \pi r^2\) (Area formula)
3. \(C^2 = 4\pi A\) (Relationship between circumference and area)

The expression \(C/d = \pi\) simplifies to the definition of pi and does not directly relate circumference to area.

Therefore, the correct answer is that the relationship between circumference and area is expressed in the three formulas, with \(C^2 = 4\pi A\) being a derived relationship that connects both \(C\) and \(A\).